Information on Result #680907
Linear OA(4244, 1097, F4, 58) (dual of [1097, 853, 59]-code), using construction X applied to Ce(57) ⊂ Ce(45) based on
- linear OA(4216, 1024, F4, 58) (dual of [1024, 808, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(4171, 1024, F4, 46) (dual of [1024, 853, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(428, 73, F4, 11) (dual of [73, 45, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(428, 76, F4, 11) (dual of [76, 48, 12]-code), using
- trace code [i] 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
- trace code [i] based on linear OA(1614, 38, F16, 11) (dual of [38, 24, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(428, 76, F4, 11) (dual of [76, 48, 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.