Information on Result #900063
Linear OOA(2569, 381, F25, 2, 27) (dual of [(381, 2), 693, 28]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2517, 66, F25, 2, 13) (dual of [(66, 2), 115, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,118P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2552, 315, F25, 2, 27) (dual of [(315, 2), 578, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2552, 630, F25, 27) (dual of [630, 578, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(23) [i] based on
- 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(2547, 625, F25, 24) (dual of [625, 578, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(252, 5, F25, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- construction X applied to Ce(26) ⊂ Ce(23) [i] based on
- OOA 2-folding [i] based on linear OA(2552, 630, F25, 27) (dual of [630, 578, 28]-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.