Information on Result #900087
Linear OOA(2574, 384, F25, 2, 28) (dual of [(384, 2), 694, 29]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2518, 66, F25, 2, 14) (dual of [(66, 2), 114, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,117P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2556, 318, F25, 2, 28) (dual of [(318, 2), 580, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2556, 636, F25, 28) (dual of [636, 580, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(22) [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(2545, 625, F25, 23) (dual of [625, 580, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(254, 11, F25, 4) (dual of [11, 7, 5]-code or 11-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(27) ⊂ Ce(22) [i] based on
- OOA 2-folding [i] based on linear OA(2556, 636, F25, 28) (dual of [636, 580, 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.