science

Rectangular Micro QR Code

Rectangular Micro QR Code is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Rectangular Micro QR Code rather than just read about it. In short: Rectangular Micro QR Code (also known as rMQR Code) is two-dimensional (2D) matrix barcode invented and standardized in 2022 by Denso Wave as ISO/IEC 23941. rMQR Code is designed as a rectangular variation of QR code and has the same parameters and applications as original QR code. But rMQR Code is more suitable for the rectangular areas and has difference between width and height up to 19 in R7x139 version.

Key takeaways

Rectangular Micro QR Code belongs to science; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Rectangular Micro QR Code to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Rectangular Micro QR Code from memory before moving on to harder problems.

Reference excerpt

Rectangular Micro QR Code (also known as rMQR Code) is two-dimensional (2D) matrix barcode invented and standardized in 2022 by Denso Wave as ISO/IEC 23941. rMQR Code is designed as a rectangular variation of QR code and has the same parameters and applications as original QR code. But rMQR Code is more suitable for the rectangular areas and has difference between width and height up to 19 in R7x139 version. In this way it can be used in places where 1D barcodes are used. rMQR Code can replace Code 128 and Code 39 barcodes with more effective data encoding. rMQR Code consists of black squares and white square spaces arranged in a square grid on a white background. It has one finder pattern in left-top corner the same as in QR Code and small finder sub-pattern in right-bottom corner. Also, it has alignment and timing patterns to help with recognition. rMQR Code has Reed–Solomon error correction with ability to restore data from corrupted barcodes. As other 2D matrix barcodes it can be read with camera-based readers. As original QR code, rMQR Code can encode Unicode characters with Extended Channel Interpretation feature, bytes array and can natively encode Japanese characters in kanji encoding. In maximal R17x139 version rMQR Code can encode up to 361 numeric, 219 alphanumeric, 150 bytes and 92 kanji characters.

History and application rMQR Code was invented by Denso Wave company in 2022 and standardized as ISO/IEC 23941. It is an extension of QR Code for rectangular areas and designed to be a replacement of 1D barcodes. rMQR Code is a novel barcode and at this time it not widely used, but it can unite QR Code features like error correction and Unicode encoding and 1D barcodes features like effective usage of rectangular areas. At this time rMQR Code yet is not widely supported by hardware printers and scanners but it is already supported by barcode libraries. In this way rMQR Code can be used in:

Advertisement; Automatic data identification in document processing; Automatically identified hyperlinks to internet pages; Food and goods tracking in retail; In airports, bus / railroad stations for automatic tickets and passenger documents identification; Package tracking; Patient or medicine identification in healthcare services or industry. Main advantages of rMQR Code are:

Ability to encode Japanese characters with embedded methods; Effective usage of rectangular areas and full replacement of 1D barcodes. Encoding GS1 Data; Extended Channel Interpretation support; Reed–Solomon error correction with ability to restore data from corrupted barcodes.

Barcode design Rectangular Micro QR Code is designed for the better utilization of rectangular areas with all features of QR code. The symbology consists of black squares and white square spaces arranged in a square grid on a white background. Additionally, the barcode has inverse version with black background with inverse (luminance) color of elements. rMQR Code has minimal height of 7X and minimal width of 27X, where maximal height is 17X and maximal width 139X. rMQR Code has 32 versions with different combinations of height and width. Reed–Solomon error correction has two levels and allows to restore from 15% to 30% of corrupted data.

rMQR Code symbol is constructed from the following elements:

Finder pattern on top-left corner with 1X separator on bottom-right space, the same as in QR Code; Finder sub pattern in bottom-right corner; Corner finder patterns on top-right and bottom-left barcode sides, width and height variable and maximal can be 3x3; Alignment patterns, variable count, depends from version width: 0 in R11x27 version, 8 in R11x139 version; Timing patterns which are used as border around barcode; Format information region around finder pattern and finder sub pattern; Data encoding region; Quiet zone 2X. Here are some samples of Rectangular Micro QR Code (rMQR Code):

Versions Rectangular Micro QR Code can be encoded in 32 versions with height from 7X to 17X and width from 27X to 139X. All versions have two Error correction levels: M and H, which have influence on possible encoded data size and error correction. All of Rectangular Micro QR Code versions and their features can be watched in the following table:

Finder patterns

Rectangular Micro QR Code has three types of finder pattern:

Finder pattern on top-left corner with 1X separator on bottom-right space; Finder sub pattern in bottom-right corner; Possible corner finder patterns on top-right and bottom-left barcode corners. Main finder pattern is used to detect the barcode on image and its corruption can make barcode unrecognizable. Finder pattern has vertical and horizontal size 1-1-3-1-1. Finder sub pattern helps to detect bottom-right corner of the barcode. Finder sub pattern does not have guard zone and has vertical and horizontal size 1-1-1-1-1. Corner finder patterns allows to detect top-right and bottom-left corners and in some version of the rMQR Code can be cut or absent. Corner finder pattern looks like corner with white dot in the center with size 3-3.

Alignment and timing patterns

Rectangular Micro QR Code has alignment and timing patterns which help to detect misaligned cells damage. Alignment pattern is represented as black rectangle 3X size rounding 1X white dot. Alignment pattern in some versions can be absent and number of alignment patterns depends from version, up to 8 alignment patterns.

Timing patterns boarding the barcode where area is clean from finder and alignment patterns and additionally split the barcode vertically in the area of alignment patterns.

Format Information

Rectangular Micro QR Code places format information in the area of finder pattern and finder sub pattern. Format information is built as 18-bit sequence containing 6 data bits, 12 error correction bits calculated using the (18, 6) Extended BCH code. Format information is masked with 011111101010110010 sequence which is placed around finder pattern and 100000101001111011 for finder sub pattern.

The first data bit defines error correction level and the second 5 data bits defines version indicator.

Error correction Rectangular Micro QR Code uses Reed–Solomon error correction and has two error correction levels M and H which can restore around 15 and 30% of damaged barcode area. All data in the barcode is split into error correction blocks (can be from 1 to 4 blocks) and error correction codewords are added to every block. After this, the blocks are united into single stream.

… excerpt ends here. Continue reading the full article.

Illustrations

Worked examples

Example 1 — a first encounter with Rectangular Micro QR Code

Start with the simplest possible case. Write down what Rectangular Micro QR Code claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Rectangular Micro QR Code before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Rectangular Micro QR Code ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Rectangular Micro QR Code

In research: Rectangular Micro QR Code appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Rectangular Micro QR Code in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Rectangular Micro QR Code is common in secondary-school and first-year university syllabi. It links to neighbouring topics Automatic identification and data capture, Barcodes, Encodings, so understanding it makes those chapters shorter.
In everyday life: Look for Rectangular Micro QR Code outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Rectangular Micro QR Code in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Rectangular Micro QR Code means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Rectangular Micro QR Code out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Rectangular Micro QR Code in simple terms?

Why does Rectangular Micro QR Code matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Rectangular Micro QR Code?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Rectangular Micro QR Code.