Ranks of incidence matrices of Steiner triple systems

From MaRDI portal
Publication:1244228

DOI10.1007/BF01174898zbMath0373.05011MaRDI QIDQ1244228

Monique Vandensavel, Jean Doyen, Xavier L. Hubaut

Publication date: 1978

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172756




Related Items (34)

Combinatorial game distributions of Steiner systemsGeneralized Preparata codes and 2-resolvable Steiner quadruple systemsCounting Steiner triple systems with classical parameters and prescribed rankQuasi-symmetric \(2\text{-}(31,7,7)\) designs and a revision of Hamada's conjectureSome transitive Steiner triple systems of Bagchi and BagchiSteiner triple systems of order 15 and their codesModular representation theory of BIB designsThe number of the non-full-rank Steiner quadruple systems \(S ( v , 4 , 3 )\)Threefold triple systems with nonsingular \(N_2\)Steiner triple systems \(S(2^m-1,3,2)\) of rank \(2^m-m+1\) over \(\mathbb F_2\)On Bonisoli's theorem and the block codes of Steiner triple systemsOn the number of resolvable Steiner triple systems of small 3-rankCharacterizing geometric designs. II.On projective and affine hyperplanesClassification of Steiner quadruple systems of order 16 and rank 14On resolvability of Steiner systems \(S ( v = 2^{ m }, 4, 3)\) of rank \(r \leq v - m + 1\) over \(\mathbb{F}_{2}\)Ranks of incidence matrices of t-designs \(S_\lambda (t,t+1,v)\)New invariants for incidence structuresSteiner loops of affine typeTransitive nonpropelinear perfect codesThe classification of Steiner triple systems on 27 points with 3-rank 24On the additivity of block designsCyclic quasi-symmetric designs and self-orthogonal codes of length 63There exist non‐isomorphic STS(19) with equivalent point codesThe Moment Map of a Lie Group RepresentationStructure of Steiner triple systems \(S(2^m-1,3,2)\) of rank \(2^m-m+2\) over \(\mathbb F_2\)Non-full-rank Steiner quadruple systems \(S(v,4,3)\)On one transformation of Steiner quadruple systems \(S(\upsilon , 4, 3)\)A mass formula for Steiner triple systems STS\((2^n-1)\) of 2-rank \(2^n-n\)Vasil'ev codes of length \(n=2^m\) and doubling of Steiner systems \(S(n,4,3)\) of a given rankIntertwining automorphisms in finite incidence structuresSteiner systems \(S(v, k, k - 1)\): components and rankThe geometric structure and the p-rank of an affine triple system derived from a nonassociative Moufang loop with the maximum associative centerThe family of t-designs. II



Cites Work


This page was built for publication: Ranks of incidence matrices of Steiner triple systems