Information on Result #674085
Linear OA(253, 139, F2, 15) (dual of [139, 86, 16]-code), using construction XX applied to Ce(14) ⊂ Ce(12) ⊂ Ce(10) based on
- linear OA(250, 128, F2, 15) (dual of [128, 78, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(243, 128, F2, 13) (dual of [128, 85, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(236, 128, F2, 11) (dual of [128, 92, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(21, 9, F2, 1) (dual of [9, 8, 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
- linear OA(21, 2, F2, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- Reed–Solomon code RS(1,2) [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.