Information on Result #723462
Linear OA(2561, 662, F25, 25) (dual of [662, 601, 26]-code), using construction XX applied to C1 = C([6,25]), C2 = C([1,15]), C3 = C1 + C2 = C([6,15]), and C∩ = C1 ∩ C2 = C([1,25]) based on
- linear OA(2540, 624, F25, 20) (dual of [624, 584, 21]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {6,7,…,25}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2530, 624, F25, 15) (dual of [624, 594, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2548, 624, F25, 25) (dual of [624, 576, 26]-code), using 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(2520, 624, F25, 10) (dual of [624, 604, 11]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {6,7,…,15}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(259, 26, F25, 9) (dual of [26, 17, 10]-code or 26-arc in PG(8,25)), using
- extended Reed–Solomon code RSe(17,25) [i]
- the expurgated narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 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]
- algebraic-geometric code AG(F, Q+4P) with degQ = 4 and degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(254, 12, F25, 4) (dual of [12, 8, 5]-code or 12-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
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.