Complete classification of Hadamard products of codimension 1 subcodes of Reed-Muller codes (Q6545513)
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scientific article; zbMATH DE number 7855107
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete classification of Hadamard products of codimension 1 subcodes of Reed-Muller codes |
scientific article; zbMATH DE number 7855107 |
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Complete classification of Hadamard products of codimension 1 subcodes of Reed-Muller codes (English)
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29 May 2024
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The paper describes the form of the Hadamard products of all possible codimension 1 subcodes of Reed-Muller codes and in some cases the Hadamard product of subcodes can be a 2 codimension subcode or even a higher codimension subcode. The authors mention that the codes are widely used in cryptography but did not mention even a single application in the paper.
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Hadamard product of linear codes
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Schur product of linear codes
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coordinate-wise product of linear codes
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McEliece cryptosystem
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Reed-Muller code
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subcode
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