Information on Result #621884
Linear OA(2172, 200, F2, 56) (dual of [200, 28, 57]-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(221, 41, F2, 9) (dual of [41, 20, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(221, 42, F2, 9) (dual of [42, 21, 10]-code), using
- extended quadratic residue code Qe(42,2) [i]
- discarding factors / shortening the dual code based on linear OA(221, 42, F2, 9) (dual of [42, 21, 10]-code), using
- linear OA(226, 32, F2, 15) (dual of [32, 6, 16]-code), using
- Reed–Muller code RM(3,5) [i]
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.