Results 21 to 30 of about 374 (164)
Generic BCH codes. Polynomial-norm error decoding
Журнал Белорусского государственного университета: Математика, информатика, 2020 The classic Bose – Chaudhuri – Hocquenghem (BCH) codes is famous and well-studied part in the theory of error-correcting codes. Generalization of BCH codes allows us to expand the range of activities in the practical correction of errors.
Alexander V. Kushnerov +1 more
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On the computation of the automorphisms group of low density parity check codes using genetic algorithm [PDF]
, 2022 The genetic algorithm (GA) is an adaptive metaheuristic search method based on the process of evolution and natural selection theory. It is an efficient algorithm used for solving the combinatorial optimization problems, e.g., travel salesman problem ...
Mehdi, Bellfkih El +6 more
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Automorphism Ensemble Decoding of Reed–Muller Codes [PDF]
IEEE Transactions on Communications, 2021 Accepted for Publication in IEEE Transactions on ...
Marvin Geiselhart +4 more
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Properties of triple error orbits G and their invariants in Bose – Chaudhuri – Hocquenghem codes C7
Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2019 This work is the further development of the theory of norms of syndromes: the theory of polynomial invariants of G-orbits of errors expands with the group G of automorphisms of binary cyclic BCH codes obtained by joining the degrees of cyclotomic ...
V. A. Lipnitski, A. U. Serada
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Automorphism groups of Grassmann codes
Finite Fields and Their Applications, 2013 revised ...
Sudhir R. Ghorpade, Krishna V. Kaipa
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Quantum computation from dynamic automorphism codes [PDF]
QuantumWe propose a new model of quantum computation comprised of low-weight measurement sequences that simultaneously encode logical information, enable error correction, and apply logical gates.
Margarita Davydova +3 more
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Faithfulness of actions on Riemann-Roch spaces [PDF]
, 2015 Given a faithful action of a finite group G on an algebraic curve X of genus g > 1, we give explicit criteria for the induced action of G on the Riemann-Roch space H^0(X,O_X(D)) to be faithful, where D is a G-invariant divisor on X of degree at least ...
Koeck, Bernhard, Tait, Joseph
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Automorphism groups of Gabidulin-like codes [PDF]
Archiv der Mathematik, 2016 Let K be a cyclic Galois extension of degree f over k and T a generator of the Galois group. For any v=(v_1,... , v_m)\in K^m such that v is linearly independent over k, and any 0< d < m the Gabidulin-like code C(v, T , d) is a maximum rank distance code in the space of f times m matrices over k of dimension fd. This construction unifies the ones
Dirk Liebhold, Gabriele Nebe
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Automorphism groups of some AG codes [PDF]
IEEE Transactions on Information Theory, 2006 added a reference, fixed error in remark ...
David Joyner, Amy Ksir
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On the Addressability Problem on CSS Codes [PDF]
QuantumRecent discoveries in asymptotically good quantum codes have intensified research on their application in quantum computation and fault-tolerant operations.
Jérôme Guyot, Samuel Jaques
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