Information on Result #724274
Linear OA(2587, 662, F25, 39) (dual of [662, 575, 40]-code), using construction XX applied to C1 = C([614,25]), C2 = C([0,28]), C3 = C1 + C2 = C([0,25]), and C∩ = C1 ∩ C2 = C([614,28]) 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(2554, 624, F25, 29) (dual of [624, 570, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2574, 624, F25, 39) (dual of [624, 550, 40]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−10,−9,…,28}, and designed minimum distance d ≥ |I|+1 = 40 [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(2511, 31, F25, 9) (dual of [31, 20, 10]-code), using
- construction X applied to AG(F, Q+4P) ⊂ AG(F, Q+5P) [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(256, 26, F25, 6) (dual of [26, 20, 7]-code or 26-arc in PG(5,25)), using algebraic-geometric code AG(F, Q+8P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(252, 5, F25, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- construction X applied to AG(F, Q+4P) ⊂ AG(F, Q+5P) [i] based on
- linear OA(252, 7, F25, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)) (see above)
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.