Information on Result #899988
Linear OOA(2590, 7888, F25, 2, 24) (dual of [(7888, 2), 15686, 25]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2516, 66, F25, 2, 12) (dual of [(66, 2), 116, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,119P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2574, 7822, F25, 2, 24) (dual of [(7822, 2), 15570, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2574, 15644, F25, 24) (dual of [15644, 15570, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(18) [i] based on
- linear OA(2570, 15625, F25, 24) (dual of [15625, 15555, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2555, 15625, F25, 19) (dual of [15625, 15570, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(254, 19, F25, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- construction X applied to Ce(23) ⊂ Ce(18) [i] based on
- OOA 2-folding [i] based on linear OA(2574, 15644, F25, 24) (dual of [15644, 15570, 25]-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.