Information on Result #688841
Linear OA(837, 77, F8, 20) (dual of [77, 40, 21]-code), using construction X applied to Ce(19) ⊂ Ce(13) based on
- linear OA(831, 64, F8, 20) (dual of [64, 33, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(824, 64, F8, 14) (dual of [64, 40, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(86, 13, F8, 5) (dual of [13, 7, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 14, F8, 5) (dual of [14, 8, 6]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OA(86, 14, F8, 5) (dual of [14, 8, 6]-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.