Information on Result #692990
Linear OA(16124, 293, F16, 63) (dual of [293, 169, 64]-code), using construction X applied to Ce(62) ⊂ Ce(50) based on
- linear OA(16110, 256, F16, 63) (dual of [256, 146, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(1687, 256, F16, 51) (dual of [256, 169, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(1614, 37, F16, 11) (dual of [37, 23, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1614, 38, F16, 11) (dual of [38, 24, 12]-code), using
- extended algebraic-geometric code AGe(F,26P) [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(1614, 38, F16, 11) (dual of [38, 24, 12]-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.