Results 311 to 320 of about 7,931,944 (349)
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Computing Linear Codes and Unitals
Designs, Codes and Cryptography, 1998A unital on \(q^3+1\) points is a 2-\((q^3+1,q+1,1)\) design. The Ree unital \(R(q)\) on \(q^3+1\) points for \(q=3^{2m+1}\), \(m\geq 0\) is a design invariant under the Ree group. In 1981, Andries Brouwer constructed 138 nonisomorphic 2-\((28,42,1)\) designs and made the conjecture that the Ree unital \(R(3)\) is characterized by the fact that its ...
David B. Jaffe, Vladimir D. Tonchev
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Linear codes and weights [PDF]
Australas. J Comb., 1993 We give an algebraic characterization of weight functions on linear codes, i.e. vector spaces of \(n\)-tuples over a finite field. Specifically, given a function from a finite vector space \(V\) to the nonnegative integers, we determine precisely when \(V\) can be replaced (isomorphically) by a space of \(n\)-tuples so that the given function becomes ...
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Linear Codes and Their Coordinate Ordering
Designs, Codes and Cryptography, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sylvia B. Encheva, Gérard D. Cohen
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Extendability of Ternary Linear Codes
Designs, Codes and Cryptography, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Extension Theorem for Linear Codes
Designs, Codes and Cryptography, 1999The author gives a simple sufficient condition for the existence of an extension of an \([n,k,d]_q\) code (with \((d,q)=1\)) to an \([n+1,k,d+1]_q\) code: if the weights of the code are all congruent to \(0\) or \(d\) modulo \(q\) then the code can be extended and the weights of the new code are all congruent to \(0\) or \(d+1\) modulo \(q\). The proof
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Forcing Linearity on Greedy Codes
Designs, Codes and Cryptography, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the relative profiles of a linear code and a subcode
Designs, Codes and Cryptography, 2012Zhuojun Zhuang +3 more
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On lattices, learning with errors, random linear codes, and cryptography
Symposium on the Theory of Computing, 2005O. Regev
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The weight-distribution of a coset of a linear code (Corresp.)
IEEE Transactions on Information Theory, 1978E. F. Assmus, H. Mattson
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No Projective 16-Divisible Binary Linear Code of Length 131 Exists
IEEE Communications Letters, 2021Sascha Kurz
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