Quasiperfect linear binary codes with distance 4 and complete caps in projective geometry

From MaRDI portal
Publication:923058

zbMath0711.94018MaRDI QIDQ923058

L. M. Tombak, Alexander A. Davydov

Publication date: 1989

Published in: Problems of Information Transmission (Search for Journal in Brave)




Related Items (29)

Generating binary spaces.On the structure of large sum-free sets of integersOn maximal sum-free sets in abelian groupsA note on extending the alias length patternOn the size of complete caps in PG\((3,2^{h}\))On the non-trivial minimal blocking sets in binary projective spacesThe Structure of $I_4$-Free and Triangle-Free Binary MatroidsLarge sum-free sets in \(\mathbb{Z}_5^n\)On \(k\)-caps in \(\mathrm{PG}(n, q)\), with \(q\) even and \(n \geq 4\)Results for two-level fractional factorial designs of resolution IV or moreOn \(k\)-caps in \(\mathrm{PG}(n, q)\), with \(q\) even and \(n \geq 3\)On construction of blocked general minimum lower-order confounding \(2^{n - m} : 2^r\) designs with \(N / 4 + 1 \leq n \leq 5 N / 16\)Stability result for sets with \(3A \neq \mathbb{Z}_5^n\)Dense binary \(\mathrm{PG}(t-1,2)\)-free matroids have critical number \(t-1\) or \(t\)Large sum-free sets in \(\mathbb Z/p\mathbb Z\)Grid representations for \(2^{m-(m-k)}_{\text{IV}}\) join designs containing maximum number of clear two-factor interactionsOn sum-free subsets of the torus groupGeneral minimum lower order confounding designs: an overview and a construction theoryNew codes from old; a new geometric constructionOn construction of general minimum lower order confounding \(2^{n - m}\) designs with \(N/4+1\leq n\leq 9N/32\)Minimal 1-saturating sets and complete caps in binary projective spaces.Doubling and projection: A method of constructing two-level designs of resolution IVRemarks on a generalization of the Davenport constantOn sizes of complete caps in projective spaces \(\mathrm{PG}(n, q)\) and arcs in planes \(\mathrm{PG}(2, q)\)Large sum-free sets in ternary spacesThe packing problem in statistics, coding theory and finite projective spacesThree-fold restricted set addition in groups.A theory on constructing blocked two-level designs with general minimum lower order confoundingHow long does it take to generate a group?




This page was built for publication: Quasiperfect linear binary codes with distance 4 and complete caps in projective geometry