Information on Result #696122
Linear OA(27101, 779, F27, 43) (dual of [779, 678, 44]-code), using construction X applied to Ce(42) ⊂ Ce(25) based on
- linear OA(2782, 729, F27, 43) (dual of [729, 647, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2751, 729, F27, 26) (dual of [729, 678, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2719, 50, F27, 16) (dual of [50, 31, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2719, 52, F27, 16) (dual of [52, 33, 17]-code), using
- extended algebraic-geometric code AGe(F,35P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2719, 52, F27, 16) (dual of [52, 33, 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.