Information on Result #696111
Linear OA(2777, 775, F27, 32) (dual of [775, 698, 33]-code), using construction X applied to Ce(31) ⊂ Ce(15) based on
- linear OA(2760, 729, F27, 32) (dual of [729, 669, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2731, 729, F27, 16) (dual of [729, 698, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2717, 46, F27, 15) (dual of [46, 29, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2717, 48, F27, 15) (dual of [48, 31, 16]-code), using
- extended algebraic-geometric code AGe(F,32P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2717, 48, F27, 15) (dual of [48, 31, 16]-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.