Information on Result #900345
Linear OOA(25107, 441, F25, 2, 40) (dual of [(441, 2), 775, 41]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2530, 126, F25, 2, 20) (dual of [(126, 2), 222, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,231P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- extended algebraic-geometric NRT-code AGe(2;F,231P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- linear OOA(2577, 315, F25, 2, 40) (dual of [(315, 2), 553, 41]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2577, 630, F25, 40) (dual of [630, 553, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(37) [i] based on
- linear OA(2576, 625, F25, 40) (dual of [625, 549, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2572, 625, F25, 38) (dual of [625, 553, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(251, 5, F25, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(39) ⊂ Ce(37) [i] based on
- OOA 2-folding [i] based on linear OA(2577, 630, F25, 40) (dual of [630, 553, 41]-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.