Information on Result #724515
Linear OA(2598, 672, F25, 43) (dual of [672, 574, 44]-code), using construction XX applied to C1 = C([614,25]), C2 = C([0,32]), C3 = C1 + C2 = C([0,25]), and C∩ = C1 ∩ C2 = C([614,32]) based on
- linear OA(2569, 624, F25, 36) (dual of [624, 555, 37]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−10,−9,…,25}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2562, 624, F25, 33) (dual of [624, 562, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2582, 624, F25, 43) (dual of [624, 542, 44]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−10,−9,…,32}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2549, 624, F25, 26) (dual of [624, 575, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2510, 29, F25, 9) (dual of [29, 19, 10]-code), using
- construction X applied to AG(F,8P) ⊂ AG(F,9P) [i] based on
- linear OA(259, 26, F25, 9) (dual of [26, 17, 10]-code or 26-arc in PG(8,25)), using algebraic-geometric code AG(F,8P) with degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- linear OA(257, 26, F25, 7) (dual of [26, 19, 8]-code or 26-arc in PG(6,25)), using algebraic-geometric code AG(F,9P) with degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,8P) ⊂ AG(F,9P) [i] based on
- linear OA(256, 19, F25, 6) (dual of [19, 13, 7]-code or 19-arc in PG(5,25)), using
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- Reed–Solomon code RS(19,25) [i]
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), 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.