Shortened linear codes over finite fields
Y Liu, C Ding, C Tang - IEEE Transactions on Information …, 2021 - ieeexplore.ieee.org
… -Muller codes, and ovoid codes. Eleven families of optimal shortened codes over finite fields
… 2-designs are also constructed from some of the shortened codes presented in this paper. …
… 2-designs are also constructed from some of the shortened codes presented in this paper. …
A subfield-based construction of optimal linear codes over finite fields
… Abstract—In this paper, we construct four families of linear codes over finite fields from the
… families of optimal linear codes, including infinite families of (near) Griesmer codes. We also …
… families of optimal linear codes, including infinite families of (near) Griesmer codes. We also …
The extended codes of some linear codes
Z Sun, C Ding, T Chen - Finite Fields and Their Applications, 2024 - Elsevier
… For example, puncturing and shortening C on a set of coordinate positions are two ways for
… of the extended codes of several infinite families of linear codes over finite fields. We present …
… of the extended codes of several infinite families of linear codes over finite fields. We present …
Shortened linear codes from APN and PN functions
C Xiang, C Tang, C Ding - IEEE Transactions on Information …, 2022 - ieeexplore.ieee.org
… -Muller codes have been an object of intensive study in coding … binary shortened codes of
two families of linear codes from … . studied some shortened linear codes over finite fields in [32]…
two families of linear codes from … . studied some shortened linear codes over finite fields in [32]…
Optimal linear and cyclic locally repairable codes over small fields
… of optimal linear codes over small fields with locality properties … determined by the properties
of a shortened first-order Reed– … the finite field of order q and Fq[X] the polynomial ring over …
of a shortened first-order Reed– … the finite field of order q and Fq[X] the polynomial ring over …
Nonbinary stabilizer codes over finite fields
A Ketkar, A Klappenecker, S Kumar… - IEEE transactions on …, 2006 - ieeexplore.ieee.org
… Furthermore, we discuss simpler constructions for linear codes. Before exploring these … If
we delete one coordinate in all codewords of a classical code, then we obtain a shorter code …
we delete one coordinate in all codewords of a classical code, then we obtain a shorter code …
Codes on finite geometries
H Tang, J Xu, S Lin… - IEEE Transactions on …, 2005 - ieeexplore.ieee.org
… in finite geometries, such as Euclidean geometries and projective geometries over finite
fields… Two multistep majority-logic decoding algorithms are devised for decoding these codes. …
fields… Two multistep majority-logic decoding algorithms are devised for decoding these codes. …
Algebraic complexities and algebraic curves over finite fields
DV Chudnovsky, GV Chudnovsky - Journal of complexity, 1988 - Elsevier
… finite extensions of fields and optimal linear codes. First of all we improve on the lower bounds
on mmc over finite fields. … In order to obtain sharper bounds linear codes are shortened. (A …
on mmc over finite fields. … In order to obtain sharper bounds linear codes are shortened. (A …
Several constructions of optimal LCD codes over small finite fields
S Li, M Shi, H Liu - Cryptography and Communications, 2024 - Springer
… LCD codes over small finite fields by modifying some typical methods for constructing linear
codes. … from old ones, for example, the puncturing and shortening techniques, as well as the …
codes. … from old ones, for example, the puncturing and shortening techniques, as well as the …
[BOOK][B] Handbook of finite fields
GL Mullen, D Panario - 2013 - api.taylorfrancis.com
… Standard array decoding of linear codes … of topics over finite fields. These topics include
relations between the integers and polynomials over finite fields, matrices over finite fields, linear …
relations between the integers and polynomials over finite fields, matrices over finite fields, linear …
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