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Two Families of BCH Codes and New Quantum Codes

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In this paper, two families of Hermitian dual-containing Bose-Chau- dhuri-Hocquenghem (BCH) codes with length n=a⋅q2+12$n=a\cdot \frac {q^{2}+ 1}{2}$ and n = b (q2 + 1) are studied, where odd a∣(q − 1) for… Click to show full abstract

In this paper, two families of Hermitian dual-containing Bose-Chau- dhuri-Hocquenghem (BCH) codes with length n=a⋅q2+12$n=a\cdot \frac {q^{2}+ 1}{2}$ and n = b (q2 + 1) are studied, where odd a∣(q − 1) for odd prime power q and b∣ (q + 1) for even prime power q, respectively. Using these non-narrow-sense BCH codes, some new quantum BCH codes are constructed. Most of these quantum codes have better parameters than the ones in the literature.

Keywords: new quantum; families bch; codes new; two families; bch codes; quantum codes

Journal Title: International Journal of Theoretical Physics
Year Published: 2019

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