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...{dz, 2}]]4 codes obtained from BCH codes over F4. k′ 2 3 5 7 8 10 dz 11 10 7 6 5 3 Table 2: [[n, k, {dx, dz}]]4 Asymmetric quantum codes obtained from punctured BCH codes over F4. [[14, 6, {6, 2}]]4 [=-=[20, 9, {6, 2}]-=-]4 [[32, 8, {10, 2}]]4 [[14, 9, {4, 2}]]4 [[20, 12, {4, 2}]]4 [[32, 18, {7, 2}]]4 [[30, 21, {4, 2}]]4 [[30, 16, {6, 2}]]4 [[30, 11, {10, 2}]]4 [[34, 8, {6, 2}]]4 [[34, 17, {4, 2}]]4 ][[34, 23, {2, 2}]...

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... construct AQCs based on a famous subclass of Alternant codes called Goppa codes. As an illustrative example, we get three [[55, 6, 19/4]], [[55, 10, 19/3]], [[55, 15, 19/2]] AQCs from the well known =-=[55, 16, 19]-=- binary Goppa code. At last, we get asymptotically good binary expansions of asymmetric quantum GRS codes, which are quantum generalizations of Retter’s classical results. All the AQCs constructed in ...