Results 31 to 40 of about 374 (164)
On Calculation of Monomial Automorphisms of Linear Cyclic Codes [PDF]
, 2020 © 2018, Pleiades Publishing, Ltd. A description of the monomial automorphisms group of an arbitrary linear cyclic code in term of polynomials is presented.
Kugurakov V. +2 more
core
Automorphism Groups of BWD-codes
Journal of Combinatorial Theory, Series A, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Automorphisms of Channel Codes: Properties, Code Design, and a Decoder [PDF]
, 2023 Low-density parity-check codes together with belief propagation (BP) decoding are known to be well-performing for large block lengths. However, for short block lengths there is still a considerable gap between the performance of the BP decoder and the ...
Schmalen, Laurent +2 more
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Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices [PDF]
Publisher Copyright: © 1963-2012 IEEE.Let S(n, t, k) be the maximum size of a code containing only vectors of the kth shell of the integer lattice Zn such that the inner product between distinct vectors does not exceed t.
Ganzhinov, Mikhail, Östergård, Patric
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Automorphism groups and isometries for cyclic orbit codes
Advances in Mathematics of Communications, 2023 We study orbit codes in the field extension ${\mathbb F}_{q^n}$. First we show that the automorphism group of a cyclic orbit code is contained in the normalizer of the Singer subgroup if the orbit is generated by a subspace that is not contained in a proper subfield of ${\mathbb F}_{q^n}$. We then generalize to orbits under the normalizer of the Singer
Heide Gluesing-Luerssen, Hunter Lehmann
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Automorphisms of principal nilpotent self-dual codes in certain modular algebras [PDF]
, 1985 We give a constructive characterization of codes which are self-dual, nilpotent and principal in a certain finite abelian group algebra over finite field.
Poli, A., Thiong-ly, J.A.
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Some designs and codes from L_2(q) [PDF]
Transactions on Combinatorics, 2014 For $q \in \{7,8,9,11,13,16\}$, we consider the primitive actions of $L_2(q)$ and use Key-Moori Method 1 as described in [Codes, designs and graphs from the Janko groups {$J_1$} and {$J_2$}, {\em J. Combin. Math. Combin.
Jamshid Moori +1 more
doaj
Constant 2-Labellings And An Application To (R, A, B)-Covering Codes
Discussiones Mathematicae Graph Theory, 2017 We introduce the concept of constant 2-labelling of a vertex-weighted graph and show how it can be used to obtain perfect weighted coverings. Roughly speaking, a constant 2-labelling of a vertex-weighted graph is a black and white colouring of its vertex
Gravier Sylvain, Vandomme Èlise
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Describing quaternary codes using binary codes [PDF]
, 2011 PhDFor a quaternary code C of length n, de ne a pair of binary codes fC1;C2g as: -C1 = C mod 2 -C2 = h(C \ 2Zn 4 ) where h is a bijection from 2Z4 to Z2 mapping 0 to 0 and 2 to 1 and for the extension to a map acting coordinatewise.
Al Kharoosi, Fatma Salim Ali
core
An elegant model of the geodesic flow on the modular surface
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
wiley +1 more source