Information on Result #693049
Linear OA(1685, 116, F16, 51) (dual of [116, 31, 52]-code), using construction X applied to Ce(50) ⊂ Ce(35) based on
- linear OA(1669, 86, F16, 51) (dual of [86, 17, 52]-code), using an extension Ce(50) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(1655, 86, F16, 36) (dual of [86, 31, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(1616, 30, F16, 14) (dual of [30, 14, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1616, 33, F16, 14) (dual of [33, 17, 15]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1616, 33, F16, 14) (dual of [33, 17, 15]-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.
Other Results with Identical Parameters
None.
Depending Results
None.