Information on Result #694525
Linear OA(2589, 675, F25, 37) (dual of [675, 586, 38]-code), using construction X applied to Ce(36) ⊂ Ce(19) based on
- linear OA(2570, 625, F25, 37) (dual of [625, 555, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2539, 625, F25, 20) (dual of [625, 586, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2519, 50, F25, 16) (dual of [50, 31, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2519, 52, F25, 16) (dual of [52, 33, 17]-code), using
- extended algebraic-geometric code AGe(F,35P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2519, 52, F25, 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.