Information on Result #1736938
Digital (45, 66, 3129)-net over F25, using net defined by OOA based on linear OOA(2566, 3129, F25, 22, 21) (dual of [(3129, 22), 68772, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(2566, 15646, F25, 2, 21) (dual of [(15646, 2), 31226, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2566, 15649, F25, 2, 21) (dual of [(15649, 2), 31232, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2566, 15649, F25, 21) (dual of [15649, 15583, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- linear OA(2561, 15626, F25, 21) (dual of [15626, 15565, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2543, 15626, F25, 15) (dual of [15626, 15583, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(255, 23, F25, 5) (dual of [23, 18, 6]-code or 23-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
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2566, 15649, F25, 21) (dual of [15649, 15583, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(2566, 15649, F25, 2, 21) (dual of [(15649, 2), 31232, 22]-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.