Information on Result #692920
Linear OA(16130, 284, F16, 71) (dual of [284, 154, 72]-code), using construction X applied to Ce(70) ⊂ Ce(58) based on
- linear OA(16117, 256, F16, 71) (dual of [256, 139, 72]-code), using an extension Ce(70) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,70], and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(16102, 256, F16, 59) (dual of [256, 154, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(1613, 28, F16, 11) (dual of [28, 15, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1613, 33, F16, 11) (dual of [33, 20, 12]-code), using
- extended algebraic-geometric code AGe(F,21P) [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(1613, 33, F16, 11) (dual of [33, 20, 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.