Information on Result #697793
Linear OA(32105, 1074, F32, 45) (dual of [1074, 969, 46]-code), using construction X applied to Ce(44) ⊂ Ce(27) based on
- linear OA(3286, 1024, F32, 45) (dual of [1024, 938, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3255, 1024, F32, 28) (dual of [1024, 969, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3219, 50, F32, 16) (dual of [50, 31, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3219, 63, F32, 16) (dual of [63, 44, 17]-code), using
- algebraic-geometric code AG(F,46P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(3219, 63, F32, 16) (dual of [63, 44, 17]-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.