Keywords: کد خطی; Steiner triple system; Linear code; Projective space; Affine space;
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Keywords: کد خطی; Linear code; Griesmer bound; Two-weight code;
Keywords: کد خطی; Linear code; Weight distribution; Gaussian sums; Weight enumerator; Secret sharing;
Keywords: کد خطی; 94C10; 94B05; 94A60; Linear code; Minimal code; Minimal vector; Secret sharing;
Keywords: کد خطی; Linear code; Complete weight enumerator; Gauss sum;
Keywords: کد خطی; 51E22; 94B27; Linear code; Grassmann graph; Chow's theorem;
Keywords: کد خطی; Difference family; Cyclic code; Linear code; t-design;
Keywords: کد خطی; primary; 94B65; secondary; 60C05; Dimension; Linear code; Twisted centralizer code;
Keywords: کد خطی; 11T71; 94B15; 11L03; Linear code; Weight distribution; Exponential sum; Quadratic form;
Keywords: کد خطی; 94B15; 11T71; Linear code; Complete weight enumerator; Gauss sum; Cyclotomic number;
Keywords: کد خطی; Linear code; Weight distribution; Gauss sum; Quadratic form
Keywords: کد خطی; 05C25; 05C50; 20C99Cayley graph; Bipartite graph; Ramanujan graph; Regular graph spectrum; Linear code
Keywords: کد خطی; Additive cyclic code; Galois ring; Linear code; Dual code; Trace inner product; Self-dual code; Quasi-cyclic code
Keywords: کد خطی; Finite projective space; Group orbit; Projectivity; Linear code
Keywords: کد خطی; 94B05; 68R01Gauss period; Secret sharing scheme; Linear code; Hamming weight
Keywords: کد خطی; 05B25; 51E20; 94B27; Linear code; Two-weight code; Maximal arc;
Keywords: کد خطی; 51E22; 94B27; Linear code; Projective code; Simplex code; Grassmann graph;
Contraction of cyclic codes over finite chain rings
Keywords: کد خطی; Finite chain ring; Galois extension; Linear code; Constacyclic code;
Another generalisation of the binary Reed-Muller codes and its applications
Keywords: کد خطی; 94B05; 94B15; 05B05; Cyclic code; Linear code; Generalised Reed-Muller code; Reed-Muller code; t-design;
Distance colorings of hypercubes from Z2Z4-linear codes
Keywords: کد خطی; Codes over rings; Distance coloring; Gray map; Hypercube; Linear code;
Quasi-symmetric 2-(64,24,46) designs derived from AG(3,4)
Keywords: کد خطی; Quasi-symmetric design; Linear code; Automorphism group; Strongly regular graph;
Complete classification of (δ+αu2)-constacyclic codes over F2m[u]âãu4ã of oddly even length
Keywords: کد خطی; Constacyclic code; Linear code; Finite chain ring; Additive code;
A construction of linear codes and strongly regular graphs from q-polynomials
Keywords: کد خطی; Linear code; Strongly regular graph; q-polynomial; Niho exponent; Weight distribution;
Binary linear codes from vectorial boolean functions and their weight distribution
Keywords: کد خطی; Vectorial Boolean function; Linear code; Extended Walsh spectrum; Secret sharing scheme; Authentication code;
Dimensions of three types of BCH codes over GF(q)
Keywords: کد خطی; BCH code; Cyclic code; Linear code; Reversible cyclic code;
Enumerative coding for line polar Grassmannians with applications to codes
Keywords: کد خطی; 14M15; 94B27; 94B05; Enumerative coding; Polar Grassmannian; Linear code;
A generalization of weight polynomials to matroids
Keywords: کد خطی; Matroid; Weight enumerator; Linear code; Stanley–Reisner ideal; Higher weights; Tutte polynomial
On the small-weight codewords of some Hermitian codes
Keywords: کد خطی; Affine-variety code; Hamming weight; Hermitian code; Hermitian curve; Linear code; Minimum-weight words
MacWilliams' Extension Theorem for bi-invariant weights over finite principal ideal rings
Keywords: کد خطی; Frobenius ring; Principal ideal ring; Linear code; Extension Theorem; Möbius function
Automorphism groups of Grassmann codes
Keywords: کد خطی; 14M15; 20B25; 94B05; 94B27Grassmann variety; Schubert divisor; Linear code; Automorphism group; Grassmann code; Affine Grassmann code
Linear codes arising from the Gale transform of distinguished subsets of some projective spaces
Keywords: کد خطی; Linear code; Gale transform; Unital; Baer subplane
On codewords in the dual code of classical generalised quadrangles and classical polar spaces
Keywords: کد خطی; Linear code; Blocking set; Ovoid; Polar space; Generalised quadrangle; Sets of even type;
On a new code, [2n−1,n,2n−1][2n−1,n,2n−1]
Keywords: کد خطی; Linear code; Support; Design; Parity sectioned reduction; Sectioned code; Non-uniform error correction
PD-sets for binary RM-codes and the codes related to the Klein quadric and to the Schubert variety of PG(5,2)PG(5,2)
Keywords: کد خطی; 11T71; 94B27; 51E20Projective system; Variety; Linear code; PD-set
Nonexistence of a [gq(5,d),5,d]q[gq(5,d),5,d]q code for 3q4-4q3-2q+1⩽d⩽3q4-4q3-q3q4-4q3-2q+1⩽d⩽3q4-4q3-q
Keywords: کد خطی; 94B65; 94B05; 51E20; 05B25Griesmer bound; Linear code; Projective space
A MacWilliams type identity for matroids
Keywords: کد خطی; Matroid; MacWilliams identity; Linear code; Duursma's bound
A survey on proper codes
Keywords: کد خطی; Error correction; Linear code; Proper code; Good code
A method for efficiently computing the number of codewords of fixed weights in linear codes
Keywords: کد خطی; Linear code; Codewords generating; Weight spectrum algorithm; Minimum distance algorithm
Higher support matroids
Keywords: کد خطی; Matroid; Linear code; Subcode; Weight; Support; Generalized Hamming weight
Minimum aberration blocking schemes for two- and three-level fractional factorial designs
Keywords: کد خطی; Primary 62K15; Secondary 62K10; 62K05Blocking; Fractional factorial designs; Linear code; Minimum aberration; Minimum moment aberration; Wordlength pattern
Covering radii are not matroid invariants
Keywords: کد خطی; Linear code; Vector matroid; Tutte polynomial; Covering radius;
Affine designs and linear orthogonal arrays
Keywords: کد خطی; 05B; 51E; 94B; Affine design; Affine geometry; Orthogonal array; Linear code;
Bounds on (n,r)-arcs and their application to linear codes
Keywords: کد خطی; (n,r)-arcs; Finite plane; Linear code;
PD-sets for the codes related to some classical varieties
Keywords: کد خطی; Linear code; Projective system; PD-set; Variety;
Extensions of the Critical Theorem
Keywords: کد خطی; The Critical Theorem; Matroid; Linear code; Support;