Results 31 to 40 of about 5,817,872 (291)
Extended binary Golay codes by a group algebra of one group
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 Extended binary Golay codes are examples of extreme binary self-dual codes of Type II (linear binary self-dual codes with Hamming distance between arbitrary codewords which are multiples of 4 that has the highest possible minimum Hamming distance among ...
М. Ю. Бортош +1 more
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Narain CFTs and error-correcting codes on finite fields
Journal of High Energy Physics, 2022 We construct Narain CFTs from self-dual codes on the finite field F p through even self-dual lattices for any prime p > 2. Using this correspondence, we can relate the spectral gap and the partition function of the CFT to the error correction capability ...
Shinichiro Yahagi
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Mass Formula for Self-Orthogonal and Self-Dual Codes over Non-Unital Rings of Order Four
Mathematics, 2023 We study the structure of self-orthogonal and self-dual codes over two non-unital rings of order four, namely, the commutative ring I=a,b|2a=2b=0,a2=b,ab=0 and the noncommutative ring E=a,b|2a=2b=0,a2=a,b2=b,ab=a,ba=b.
Adel Alahmadi +4 more
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Rate adaptive binary erasure quantization with dual fountain codes [PDF]
, 2008 —In this contribution, duals of fountain codes are introduced and their use for lossy source compression is investigated. It is shown both theoretically and experimentally that the source coding dual of the binary erasure channel coding problem, binary ...
Mohamed Ismail +8 more
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Representing Small Identically Self‐Dual Matroids by Self‐Dual Codes [PDF]
SIAM Journal on Discrete Mathematics, 2006 The matroid associated with a linear code is the representable matroid that is defined by the columns of any generator matrix. The matroid associated with a self-dual code is identically self-dual, but it is not known whether every identically self-dual representable matroid can be represented by a self-dual code.
Carles Padró, Ignacio Gracia
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Reversible Self-Dual Codes Over the Ring F2 +
IEEE AccessIn this study, we introduce bisymmetric self-dual codes over the finite field ${\mathbb F}_{2}$ of order two. We developed a method to generate binary bisymmetric self-dual codes from a small-length bisymmetric self-dual code by increasing its length ...
Hyun Jin Kim, Whan-Hyuk Choi
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The [72,36] Type 11 Self Dual Codes from Hadamard Matrices
Davao Research Journal, 2001 Consider a code [n,k,d] of length n, dimension k and of minimum distance d. Let R be a rate defined by the equation R = k/n. Mathematically, the main problem of coding theory is to find codes with large R (for efficiency) and large d (to correct many ...
Rowena Baylon-Cabrizos
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Triorthogonal codes and self-dual codes
Quantum Information Processing21 ...
Minjia Shi +3 more
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Additive Self-Dual Codes over GF(4) with Minimal Shadow
Information, 2018 We define additive self-dual codes over G F ( 4 ) with minimal shadow, and we prove ...
Sunghyu Han
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Unique Generators for Cyclic Codes of Arbitrary Length over Fpmu/u3 and Their Applications
Journal of Mathematics, 2022 Cyclic codes play a very important role in the history of coding theory since they have good algebraic structures that can be widely used in coding and decoding.
Hongju Li +3 more
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