Information on Result #692903
Linear OA(16113, 277, F16, 61) (dual of [277, 164, 62]-code), using construction X applied to Ce(60) ⊂ Ce(53) based on
- linear OA(16106, 256, F16, 61) (dual of [256, 150, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(1692, 256, F16, 54) (dual of [256, 164, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [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.