On the BIB design having the minimum p-rank

DOI10.1016/0097-3165(75)90001-1zbMath0308.05012OpenAlexW1971886388MaRDI QIDQ1218428

S. Singh

Publication date: 1975

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(75)90001-1

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite affine and projective planes (geometric aspects) (51E15)

Related Items (23)

Quasi-symmetric designs and self-dual codes ⋮ Uniqueness of strongly regular graphs having minimal \(p\)-rank ⋮ Linear codes and doubly transitive symmetric designs ⋮ Quasi-symmetric \(2\text{-}(31,7,7)\) designs and a revision of Hamada's conjecture ⋮ New cyclic difference sets with Singer parameters ⋮ Extension sets, affine designs, and Hamada's conjecture ⋮ Recent results on designs with classical parameters ⋮ A Hamada type characterization of the classical geometric designs ⋮ New invariants for incidence structures ⋮ Affine and projective planes ⋮ On symmetric and quasi-symmetric designs with the symmetric difference property and their codes ⋮ Cyclic quasi-symmetric designs and self-orthogonal codes of length 63 ⋮ Cyclic affine planes and Paley difference sets ⋮ The Moment Map of a Lie Group Representation ⋮ Symmetric \((4,4)\)-nets and generalized Hadamard matrices over groups of order 4 ⋮ Rigidity theorems for partial linear spaces ⋮ Polarities, quasi-symmetric designs, and Hamada's conjecture ⋮ The geometric structure and the p-rank of an affine triple system derived from a nonassociative Moufang loop with the maximum associative center ⋮ The family of t-designs. II ⋮ Recent progress in algebraic design theory ⋮ Gauss sums, Jacobi sums, and \(p\)-ranks of cyclic difference sets ⋮ Decompositions of difference sets ⋮ Quasi-symmetric designs, codes, quadrics, and hyperplane sections

Cites Work

• On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
• A class of majority logic decodable codes (Corresp.)
• On the p-rank of the design matrix of a difference set
• Uniqueness theorems in balanced incomplete block designs
• On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry
• On a class of majority-logic decodable cyclic codes
• ON THE CONSTRUCTION OF BALANCED INCOMPLETE BLOCK DESIGNS
• On the Structure of Balanced Incomplete Block Designs
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the BIB design having the minimum p-rank