Information on Result #724903
Linear OA(25110, 661, F25, 52) (dual of [661, 551, 53]-code), using construction XX applied to C1 = C([6,51]), C2 = C([0,41]), C3 = C1 + C2 = C([6,41]), and C∩ = C1 ∩ C2 = C([0,51]) based on
- linear OA(2589, 624, F25, 46) (dual of [624, 535, 47]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {6,7,…,51}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(2580, 624, F25, 42) (dual of [624, 544, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2596, 624, F25, 52) (dual of [624, 528, 53]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,51], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(2571, 624, F25, 36) (dual of [624, 553, 37]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {6,7,…,41}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(259, 25, F25, 9) (dual of [25, 16, 10]-code or 25-arc in PG(8,25)), using
- Reed–Solomon code RS(16,25) [i]
- linear OA(255, 12, F25, 5) (dual of [12, 7, 6]-code or 12-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), 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.