Symmetric bilinear forms over finite fields with applications to coding theory
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Publication:494308
DOI10.1007/s10801-015-0595-0zbMath1319.05155arXiv1410.7184OpenAlexW2162150928MaRDI QIDQ494308
Publication date: 31 August 2015
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.7184
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Association schemes, strongly regular graphs (05E30) Quadratic and bilinear forms, inner products (15A63) Cyclic codes (94B15)
Related Items (19)
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Cites Work
- Unnamed Item
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- Unnamed Item
- A class of five-weight cyclic codes and their weight distribution
- The weight distributions of some cyclic codes with three or four nonzeros over \(\mathbb F_3\)
- The weight distribution of a class of \(p\)-ary cyclic codes
- Rank properties of subspaces of symmetric and Hermitian matrices over finite fields
- Commutative association schemes
- t-designs in classical association schemes
- An analogue of t-designs in the association schemes of alternating bilinear forms
- A partially ordered set and q-Krawtchouk polynomials
- Association schemes and t-designs in regular semilattices
- Alternating bilinear forms over GF(q)
- Bilinear forms over a finite field, with applications to coding theory
- Association schemes of quadratic forms and symmetric bilinear forms
- Association schemes of symmetric matrices over a finite field of characteristic two
- Symmetric bilinear forms over finite fields of even characteristic
- The weight distributions of a class of cyclic codes with three nonzeros over \(\mathbb{F}_3\)
- Weight distribution of some reducible cyclic codes
- Representation by quadratic forms in a finite field
- The Weight Distribution of a Class of Cyclic Codes Related to Hermitian Forms Graphs
- Prime-phase sequences with periodic correlation properties better than binary sequences
- On the Weight Distributions of Two Classes of Cyclic Codes
- Cyclic Codes and Sequences From Generalized Coulter–Matthews Function
- Properties and Applications of the Recurrence $F( {i + 1,k + 1,n + 1} ) = q^{k + 1} F( {i,k + 1,n} ) - q^k F( {i,k,n} )$
- Association schemes and coding theory
- Cyclic Codes and Sequences: The Generalized Kasami Case
- A Family of Five-Weight Cyclic Codes and Their Weight Enumerators
- Determining the Nonlinearity of a New Family of APN Functions
- On generalized ReedMuller codes and their relatives
- Hahn Polynomials, Discrete Harmonics, andt-Designs
- Non-symmetric association schemes of symmetric matrices
- The weight distribution of a family of \(p\)-ary cyclic codes
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