Information on Result #861420
Linear OOA(2590, 195340, F25, 2, 20) (dual of [(195340, 2), 390590, 21]-NRT-code), using OOA 2-folding based on linear OA(2590, 390680, F25, 20) (dual of [390680, 390590, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2590, 390681, F25, 20) (dual of [390681, 390591, 21]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2513, 52, F25, 10) (dual of [52, 39, 11]-code), using
- extended algebraic-geometric code AGe(F,41P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OA(2577, 390629, F25, 20) (dual of [390629, 390552, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(2577, 390625, F25, 20) (dual of [390625, 390548, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2573, 390625, F25, 19) (dual of [390625, 390552, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(2513, 52, F25, 10) (dual of [52, 39, 11]-code), using
- (u, u+v)-construction [i] based on
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.