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Hadamard square of linear codes pasted side-by-side
I. V. Chizhovabc a Lomonosov Moscow State University
b Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
c NPK Kryptonit
Abstract:
Pasted side-by-side linear codes are generated by matrices which are obtained by pasting of generating matrices of other linear codes side by side. We estimated the probability of equality the Hadamard (Shur) square of the pasted side-by-side random linear codes and the Cartesian product of the Hadamard squares of the linear codes participating in the pasting.
Keywords:
Hadamard square, Shur square, Hadamard product of linear codes, Shur product of linear codes, pasted side-by-side linear codes.
Received: 23.01.2023
Citation:
I. V. Chizhov, “Hadamard square of linear codes pasted side-by-side”, Diskr. Mat., 35:3 (2023), 100–124
Linking options:
https://www.mathnet.ru/eng/dm1763https://doi.org/10.4213/dm1763 https://www.mathnet.ru/eng/dm/v35/i3/p100
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Abstract page: | 151 | Full-text PDF : | 21 | References: | 34 | First page: | 8 |
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