Results 81 to 90 of about 374 (164)

The existence of certain extremal [54,27,10] self-dual codes [PDF]

open access: yes, 1996
Some new extremal binary [54,27,10] self-dual codes are constructed using automorphisms of order ...
Yorgov, V. Y., Tonchev, Vladimir
core   +1 more source

Self-Dual Codes With an Automorphism of Order 11

open access: yesIEEE Transactions on Information Theory, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nikolay I. Yankov   +3 more
openaire   +3 more sources

On the automorphism group of various Goppa codes

open access: yesIEEE Transactions on Information Theory, 1998
This is a very nice paper where the automorphism group of several Goppa codes has been computed as being the automorphism group of the corresponding underlying function field. By an automorphism of a code \(C\subseteq {\mathbb F_q}^n \) here one means \textit{V. D. Goppa}'s definition [Math. USSR., Izv.
openaire   +3 more sources

The automorphism groups of Reed-Solomon codes

open access: yesJournal of Combinatorial Theory, Series A, 1987
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Anticanonical codes from del Pezzo surfaces with Picard rank one [PDF]

open access: yes, 2019
International audienceWe construct algebraic geometric codes from del Pezzo surfaces and focus on the ones having Picard rank one and the codes associated to the anticanonical class. We give explicit constructions of del Pezzo surfaces of degree 4, 5 and
Randriambololona, Hugues   +7 more
core   +1 more source

On the equivalence of codes and codes with an automorphism having two cycles

open access: yesDiscrete Mathematics, 1990
This paper presents results giving sufficient conditions under which two codes are equivalent. This technique has been applied to certain binary quasicyclic codes. Self-dual codes of length 2r or \(2r+2\) over arbitrary fields having an automorphism of prime order r have also been examined. This study has further been used to construct and to count the
openaire   +1 more source

Codes defined from some maximal curves [PDF]

open access: yes, 1990
Parameters and generator matrices are given for the codes obtained by applying Goppa's algebraic-geometric construction method to some maximal curves over Fq where q = p2s for some s ∈ n.
Carral, M., Rotillon, D., Thiong Ly, A.
core   +1 more source

On the automorphism groups of some AG-codes based on C_{a,b} curves [PDF]

open access: yes, 2006
We study Ca,b curves and their applications to coding theory. Recently, Joyner and Ksir have suggested a decoding algorithm based on the automorphisms of the code.
Wang, Quang, Shaska, Tony
core  

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