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
Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)
Related Items (34)
Combinatorial game distributions of Steiner systems ⋮ Generalized Preparata codes and 2-resolvable Steiner quadruple systems ⋮ Counting Steiner triple systems with classical parameters and prescribed rank ⋮ Quasi-symmetric \(2\text{-}(31,7,7)\) designs and a revision of Hamada's conjecture ⋮ Some transitive Steiner triple systems of Bagchi and Bagchi ⋮ Steiner triple systems of order 15 and their codes ⋮ Modular representation theory of BIB designs ⋮ The 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 systems ⋮ On the number of resolvable Steiner triple systems of small 3-rank ⋮ Characterizing geometric designs. II. ⋮ On projective and affine hyperplanes ⋮ Classification of Steiner quadruple systems of order 16 and rank 14 ⋮ On 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 structures ⋮ Steiner loops of affine type ⋮ Transitive nonpropelinear perfect codes ⋮ The classification of Steiner triple systems on 27 points with 3-rank 24 ⋮ On the additivity of block designs ⋮ Cyclic quasi-symmetric designs and self-orthogonal codes of length 63 ⋮ There exist non‐isomorphic STS(19) with equivalent point codes ⋮ The Moment Map of a Lie Group Representation ⋮ Structure 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 rank ⋮ Intertwining automorphisms in finite incidence structures ⋮ Steiner systems \(S(v, k, k - 1)\): components and rank ⋮ 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
Cites Work
- Unnamed Item
- Unnamed Item
- On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
- On projective and affine hyperplanes
- Some results concerning \(\{(q+1)(n-1);\;n\}\)-arcs and \(\{(q+1)\;(n-1)+1;\;n\}\)-arcs in finite projective planes of order \(q\)
- Designs et hyperplans
- Automorphisms of Steiner Triple Systems
- A class of majority logic decodable codes (Corresp.)
- On a class of majority-logic decodable cyclic codes
This page was built for publication: Ranks of incidence matrices of Steiner triple systems