Information on Result #900194
Linear OOA(2584, 385, F25, 2, 32) (dual of [(385, 2), 686, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2520, 66, F25, 2, 16) (dual of [(66, 2), 112, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,115P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2564, 319, F25, 2, 32) (dual of [(319, 2), 574, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2564, 638, F25, 32) (dual of [638, 574, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2564, 639, F25, 32) (dual of [639, 575, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(26) [i] based on
- linear OA(2560, 625, F25, 32) (dual of [625, 565, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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(254, 14, F25, 4) (dual of [14, 10, 5]-code or 14-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(31) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(2564, 639, F25, 32) (dual of [639, 575, 33]-code), using
- OOA 2-folding [i] based on linear OA(2564, 638, F25, 32) (dual of [638, 574, 33]-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.