Information on Result #692287
Linear OA(16120, 4131, F16, 39) (dual of [4131, 4011, 40]-code), using construction X applied to Ce(38) ⊂ Ce(29) based on
- linear OA(16109, 4096, F16, 39) (dual of [4096, 3987, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(1685, 4096, F16, 30) (dual of [4096, 4011, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(1611, 35, F16, 8) (dual of [35, 24, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(1611, 38, F16, 8) (dual of [38, 27, 9]-code), using
- extended algebraic-geometric code AGe(F,29P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(1611, 38, F16, 8) (dual of [38, 27, 9]-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.