Information on Result #621811
Linear OA(2157, 179, F2, 57) (dual of [179, 22, 58]-code), using construction XX applied toC3 ⊂ C1 ⊂ C0 based on
- linear OA(2120, 127, F2, 63) (dual of [127, 7, 64]-code), using code C3 for u = 7 by de Boer and Brouwer [i]
- linear OA(2106, 127, F2, 47) (dual of [127, 21, 48]-code), using code C1 for u = 7 by de Boer and Brouwer [i]
- linear OA(299, 127, F2, 31) (dual of [127, 28, 32]-code), using code C0 for u = 7 by de Boer and Brouwer [i]
- linear OA(221, 36, F2, 9) (dual of [36, 15, 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(215, 16, F2, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,2)), using
- dual of repetition code with length 16 [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.