Information on Result #724374
Linear OA(2597, 677, F25, 41) (dual of [677, 580, 42]-code), using construction XX applied to C1 = C([617,25]), C2 = C([4,33]), C3 = C1 + C2 = C([4,25]), and C∩ = C1 ∩ C2 = C([617,33]) based on
- linear OA(2563, 624, F25, 33) (dual of [624, 561, 34]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−7,−6,…,25}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2559, 624, F25, 30) (dual of [624, 565, 31]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {4,5,…,33}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2578, 624, F25, 41) (dual of [624, 546, 42]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−7,−6,…,33}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2544, 624, F25, 22) (dual of [624, 580, 23]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {4,5,…,25}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2512, 31, F25, 10) (dual of [31, 19, 11]-code), using
- construction X applied to AG(F,5P) ⊂ AG(F,6P) [i] based on
- linear OA(2510, 26, F25, 10) (dual of [26, 16, 11]-code or 26-arc in PG(9,25)), using algebraic-geometric code AG(F, Q+6P) with degQ = 3 and 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(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,5P) ⊂ AG(F,6P) [i] based on
- linear OA(257, 22, F25, 7) (dual of [22, 15, 8]-code or 22-arc in PG(6,25)), using
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), using
- Reed–Solomon code RS(18,25) [i]
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), 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.