Information on Result #900082
Linear OOA(2576, 439, F25, 2, 28) (dual of [(439, 2), 802, 29]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2524, 126, F25, 2, 14) (dual of [(126, 2), 228, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,237P) [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,237P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- linear OOA(2552, 313, F25, 2, 28) (dual of [(313, 2), 574, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2552, 626, F25, 28) (dual of [626, 574, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2552, 627, F25, 28) (dual of [627, 575, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(2552, 625, F25, 28) (dual of [625, 573, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2550, 625, F25, 27) (dual of [625, 575, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 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(27) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(2552, 627, F25, 28) (dual of [627, 575, 29]-code), using
- OOA 2-folding [i] based on linear OA(2552, 626, F25, 28) (dual of [626, 574, 29]-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.