Aug 17, 2023 · In this paper, we present several necessary and sufficient conditions for BCH codes of length n that have or dimensional hulls.
Aug 17, 2023 · In this paper, we present several necessary and sufficient conditions for BCH codes of length n that have k - 1 or k ⊥ - 1 dimensional hulls, ...
Aug 2, 2023 · In this paper, we present several necessary and sufficient conditions for BCH codes of length n that have k − 1 k-1 or k ⊥ − 1 k^\perp -1 ...
Apr 22, 2024 · Hulls of linear codes are widely applied in constructing self-orthogonal codes and quantum codes, as well as in various other aspects.
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In this paper, we will employ the defining set of the code to present a general characterization when its hull has dimension.
May 4, 2021 · Several sufficient and necessary conditions for primitive BCH codes with large Hermitian hulls are developed by presenting lower and upper ...
BCH codes, known for their error-correcting capability and efficient encoding and decoding algorithms, are an important class of cyclic codes over finite fields ...
Oct 26, 2022 · The Hull of C is defined as Hull(C) = C ∩ C⊥. Let h = dimension of Hull(C). We call C hi-optimal if d(C) is the largest among all the linear ...
Abstract—We present an algebraic attack on a McEliece-like scheme based on BCH codes (BCH-McEliece), where the Goppa code is replaced by a suitably permuted ...
We will prove that, asymptotically, the proportion of q-ary codes whose hull has dimension l is a positive constant that depends only on l and q.