Information on Result #621890
Linear OA(2167, 191, F2, 58) (dual of [191, 24, 59]-code), using construction XX applied toD3 ⊂ D1 ⊂ D0 based on
- linear OA(2119, 127, F2, 58) (dual of [127, 8, 59]-code), using augmented code D3 for u = 7 by de Boer and Brouwer [i]
- linear OA(2105, 127, F2, 46) (dual of [127, 22, 47]-code), using augmented code D1 for u = 7 by de Boer and Brouwer [i]
- linear OA(298, 127, F2, 30) (dual of [127, 29, 31]-code), using augmented code D0 for u = 7 by de Boer and Brouwer [i]
- linear OA(224, 40, F2, 11) (dual of [40, 16, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(224, 48, F2, 11) (dual of [48, 24, 12]-code), using
- extended quadratic residue code Qe(48,2) [i]
- discarding factors / shortening the dual code based on linear OA(224, 48, F2, 11) (dual of [48, 24, 12]-code), using
- linear OA(222, 24, F2, 15) (dual of [24, 2, 16]-code), using
- repeating each code word 8 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- repeating each code word 8 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.