Affine and projective planes

DOI10.1016/0012-365X(90)90003-ZzbMath0707.51012OpenAlexW2076748366MaRDI QIDQ919610

Edward F. jun. Assmus, Jennifer D. Key

Publication date: 1990

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(90)90003-z

zbMATH Keywords

designhullcode of a finite projective plane

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25) Combinatorial codes (94B25)

Related Items (36)

Linear codes with complementary duals meet the Gilbert-Varshamov bound ⋮ New Galois hulls of generalized Reed-Solomon codes ⋮ Hulls of cyclic serial codes over a finite chain ring ⋮ More results on hulls of some primitive binary and ternary BCH codes ⋮ MDS codes with euclidean and Hermitian hulls of flexible dimensions and their applications to EAQECCs ⋮ Optimal quaternary linear codes with one-dimensional Hermitian hull and related EAQECCs ⋮ On Toeplitz codes of index \(t\) and isometry codes ⋮ An improved method for constructing formally self-dual codes with small hulls ⋮ On MDS codes with Galois hulls of arbitrary dimensions ⋮ Parameters of hulls of primitive binary narrow-sense BCH codes and their subcodes ⋮ Several classes of Galois self-orthogonal MDS codes and related applications ⋮ Hulls of constacyclic codes over finite non-chain rings and their applications in quantum codes construction ⋮ Galois hulls of constacyclic codes over finite fields ⋮ A class of Hermitian dual-containing constacyclic codes and related quantum codes ⋮ On the hulls of cyclic codes of oddly even length over \(\mathbb{Z}_4\) ⋮ Linear codes of larger lengths with Galois hulls of arbitrary dimensions and related entanglement-assisted quantum error-correcting codes ⋮ Binary optimal linear codes with various hull dimensions and entanglement-assisted QECCs ⋮ Optimal quaternary Hermitian LCD codes and their related codes ⋮ Hulls of double cyclic codes ⋮ Translation planes and derivation sets ⋮ Unnamed Item ⋮ Hulls of cyclic and negacyclic codes over finite fields ⋮ Constructions and bounds on quaternary linear codes with Hermitian hull dimension one ⋮ The average dimension of the Hermitian hull of constacyclic codes over finite fields of square order ⋮ Hulls of cyclic codes over \(\mathbb{Z}_4\) ⋮ Linear codes with one-dimensional hull associated with Gaussian sums ⋮ Optimal binary and ternary linear codes with hull dimension one ⋮ Hulls of linear codes revisited with applications ⋮ The average dimension of the hull of cyclic codes. ⋮ An upper bound for the p-rank of a translation plane ⋮ Parameters and characterizations of hulls of some projective narrow-sense BCH codes ⋮ MDS linear codes with one-dimensional hull ⋮ Linear codes with small hulls in semi-primitive case ⋮ Nets and their codes ⋮ A new method for constructing linear codes with small hulls ⋮ A coding theoretic solution to the 36 officer problem

Cites Work

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