Minimal codes of prime-power length.
From MaRDI portal
Publication:1266414
DOI10.1006/ffta.1996.0156zbMath1053.94574OpenAlexW2045367052MaRDI QIDQ1266414
Manju Pruthi, Suresh Kumar Arora
Publication date: 1997
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/ffta.1996.0156
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)
Related Items
Cyclic codes with generalized cyclotomic cubic classes ⋮ Cyclic codes of length \(2^m\) ⋮ EXPLICIT DETERMINATION OF CERTAIN MINIMAL ABELIAN CODES AND THEIR MINIMUM DISTANCES ⋮ Idempotents Generators for Minimal Cyclic Codes of Length p n q ⋮ Minimal quadratic residue cyclic codes of length \(2^n\) ⋮ The minimum Hamming distances of the irreducible cyclic codes of length ⋮ Group algebras and coding theory ⋮ The primitive idempotents of irreducible constacyclic codes and LCD cyclic codes ⋮ Semisimple metacyclic group algebras. ⋮ Some minimal cyclic codes over finite fields ⋮ Explicit idempotents of finite group algebras. ⋮ Group codes over binary tetrahedral group ⋮ Some cyclic codes of length \(2p^n\) ⋮ LCD codes and self-orthogonal codes in generalized dihedral group algebras ⋮ Minimal cyclic codes of length \(p^{n} q\). ⋮ A class of minimal cyclic codes over finite fields ⋮ On idempotents of a class of commutative rings ⋮ Primitive idempotents of irreducible cyclic codes of length \(n\) ⋮ A note on the weight distribution of some cyclic codes ⋮ Structure of finite dihedral group algebra. ⋮ Primitive idempotents in group algebras and minimal abelian codes ⋮ The primitive idempotents and weight distributions of irreducible constacyclic codes ⋮ Idempotents in group algebras and minimal abelian codes ⋮ Primitive idempotents of irreducible cyclic codes and self-dual cyclic codes over Galois rings ⋮ Idempotents and codes in some non semi-simple metacyclic group algebras ⋮ A class of minimal cyclic codes over finite fields ⋮ Minimal cyclic codes of length \(p^nq\) ⋮ Generalized cyclotomic numbers and cyclic codes of prime power length over Z4 ⋮ Primitive idempotents of cyclic codes of length \(p\) and 2\(p\) ⋮ Unnamed Item ⋮ The weight distributions of some irreducible cyclic codes of length \(p^n\) and \(2p^n\) ⋮ The minimum Hamming distances of irreducible cyclic codes ⋮ Minimum distance and idempotent generators of minimal cyclic codes of length ${p_1}^{\alpha_1}{p_2}^{\alpha_2}{p_3}^{\alpha_3}$ ⋮ Unnamed Item ⋮ Minimal cyclic codes of length \(2p^n\) ⋮ New \(\ast\)-clean finite group rings under the conjugate involution ⋮ Cyclotomic numbers and primitive idempotents in the ring \(\mathrm{GF}(q)[x/(x^{p^n} - 1)\)] ⋮ λ-Mapping and Primitive Idempotents in Semisimple Ring ℜm ⋮ Generalized residue and t-residue codes and their idempotent generators ⋮ Minimal cyclic codes of length \(8p^n\) over \(\mathrm{GF}(q)\), where \(q\) is prime power of the form \(8k+5\) ⋮ Irreducible cyclic codes of length \(4p^n\) and \(8p^n\)
Cites Work
