Information on Result #692918
Linear OA(1684, 277, F16, 43) (dual of [277, 193, 44]-code), using construction X applied to Ce(42) ⊂ Ce(35) based on
- linear OA(1677, 256, F16, 43) (dual of [256, 179, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(1663, 256, F16, 36) (dual of [256, 193, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(167, 21, F16, 6) (dual of [21, 14, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(167, 24, F16, 6) (dual of [24, 17, 7]-code), using
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(167, 24, F16, 6) (dual of [24, 17, 7]-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.