Information on Result #1737728
Digital (57, 87, 1155)-net over F25, using net defined by OOA based on linear OOA(2587, 1155, F25, 34, 30) (dual of [(1155, 34), 39183, 31]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OOA(2587, 9241, F25, 2, 30) (dual of [(9241, 2), 18395, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2587, 9243, F25, 2, 30) (dual of [(9243, 2), 18399, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2587, 9243, F25, 30) (dual of [9243, 9156, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(2587, 15636, F25, 30) (dual of [15636, 15549, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(26) [i] based on
- linear OA(2585, 15625, F25, 30) (dual of [15625, 15540, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2576, 15625, F25, 27) (dual of [15625, 15549, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(252, 11, F25, 2) (dual of [11, 9, 3]-code or 11-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 Ce(29) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(2587, 15636, F25, 30) (dual of [15636, 15549, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2587, 9243, F25, 30) (dual of [9243, 9156, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(2587, 9243, F25, 2, 30) (dual of [(9243, 2), 18399, 31]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.