Information on Result #694197
Linear OA(25106, 643, F25, 54) (dual of [643, 537, 55]-code), using construction X applied to Ce(53) ⊂ Ce(45) based on
- linear OA(2599, 625, F25, 54) (dual of [625, 526, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(2588, 625, F25, 46) (dual of [625, 537, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(257, 18, F25, 7) (dual of [18, 11, 8]-code or 18-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.