Information on Result #1456927
Linear OOA(2587, 647, F25, 2, 42) (dual of [(647, 2), 1207, 43]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2587, 647, F25, 42) (dual of [647, 560, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(2587, 648, F25, 42) (dual of [648, 561, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(33) [i] based on
- linear OA(2580, 625, F25, 42) (dual of [625, 545, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2564, 625, F25, 34) (dual of [625, 561, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(257, 23, F25, 7) (dual of [23, 16, 8]-code or 23-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
- construction X applied to Ce(41) ⊂ Ce(33) [i] based on
Mode: 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.