Information on Result #900167
Linear OOA(2581, 385, F25, 2, 31) (dual of [(385, 2), 689, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2519, 66, F25, 2, 15) (dual of [(66, 2), 113, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,116P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2562, 319, F25, 2, 31) (dual of [(319, 2), 576, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2562, 638, F25, 31) (dual of [638, 576, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- linear OA(2558, 625, F25, 31) (dual of [625, 567, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2549, 625, F25, 26) (dual of [625, 576, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(254, 13, F25, 4) (dual of [13, 9, 5]-code or 13-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(30) ⊂ Ce(25) [i] based on
- OOA 2-folding [i] based on linear OA(2562, 638, F25, 31) (dual of [638, 576, 32]-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.