An extension theorem for arcs and linear codes
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Publication:415687
DOI10.1134/S0032946006040041zbMath1237.94126MaRDI QIDQ415687
Publication date: 9 May 2012
Published in: Problems of Information Transmission (Search for Journal in Brave)
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)
Related Items (11)
On the extendability of quasidivisible Griesmer arcs ⋮ A weighted version of a result of Hamada on minihypers and on linear codes meeting the Griesmer bound ⋮ The Use of Blocking Sets in Galois Geometries and in Related Research Areas ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Extension theorems for linear codes over finite fields ⋮ The geometric approach to the existence of some quaternary Griesmer codes ⋮ A generalized extension theorem for linear codes ⋮ A new extension theorem for 3-weight modulo \(q\) linear codes over \({\mathbb{F}_q}\) ⋮ Complete \((q^2+q+8)/2\)-caps in the spaces \(\mathrm{PG}(3,q)\), \(q\equiv 2 \pmod 3\) an odd prime, and a complete 20-cap in \(\mathrm{PG}(3,5)\) ⋮ Extendability of 3-weight (mod \(q\)) linear codes over \(\mathbb F_q\)
Cites Work
- Codes and projective multisets
- Blocking sets and partial spreads in finite projective spaces
- Divisibility of codes meeting the Griesmer bound
- On the minimum length of quaternary linear codes of dimension five
- A sequence of unique quaternary Griesmer codes
- An extension theorem for linear codes
- Linear codes over finite chain rings
- Linear codes over finite fields and finite projective geometries
- A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes
- On the extendability of linear codes
- On \(q^2+q+2, q+2\)-arcs in the projective plane \(PG(2,q)\)
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