Information on Result #900362
Linear OOA(25109, 441, F25, 2, 41) (dual of [(441, 2), 773, 42]-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(2579, 315, F25, 2, 41) (dual of [(315, 2), 551, 42]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2579, 630, F25, 41) (dual of [630, 551, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(38) [i] based on
- linear OA(2578, 625, F25, 41) (dual of [625, 547, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2574, 625, F25, 39) (dual of [625, 551, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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(40) ⊂ Ce(38) [i] based on
- OOA 2-folding [i] based on linear OA(2579, 630, F25, 41) (dual of [630, 551, 42]-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.