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Four quantum code constructions generating several new families of good nonbinary quantum nonprimitive nonnarrow-sense, Bose-Chaudhuri-Hocquenghem codes, are presented in this paper. The first two are based on Calderbank-Shor-Steane (CSS) construction derived from two nonprimitive Bose-Chaudhuri-Hocquenghem codes. The third one is based on Steane's… (More)
New quantum maximum-distance-separable (MDS) codes with parameters [[<i>q</i><sup>2</sup> + 1, <i>q</i><sup>2</sup> -2<i>d</i> + 3, <i>d</i>]]<sub>q</sub>, where <i>q</i>=2<sup>t</sup>, <i>t</i> ≥ 1 and 3 ≤ <i>d</i> ≤ <i>q</i>+1 is an odd integer, are constructed in this paper.
Several new families of multi-memory classical convolutional Bose-Chaudhuri-Hocquenghem codes as well as families of unit-memory quantum convolutional codes are constructed in this paper. Our unit-memory classical and quantum convolutional codes are optimal in the sense that they attain the classical (quantum) generalized Singleton bound. The constructions… (More)
New families of classical and quantum optimal negacyclic convolutional codes are constructed in this paper. This optimality is in the sense that they attain the classical (quantum) generalized Singleton bound. The constructions presented in this paper are performed algebraically and not by computational search.
—In this paper we extend to asymmetric quantum error-correcting codes (AQECC) the construction methods, namely: puncturing, extending, expanding, direct sum and the (u|u + v) construction. By applying these methods, several families of asymmetric quantum codes can be constructed. Consequently , as an example of application of quantum code expansion… (More)