Information on Result #1737920
Digital (68, 101, 1956)-net over F25, using net defined by OOA based on linear OOA(25101, 1956, F25, 34, 33) (dual of [(1956, 34), 66403, 34]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OOA(25101, 15649, F25, 2, 33) (dual of [(15649, 2), 31197, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25101, 15653, F25, 2, 33) (dual of [(15653, 2), 31205, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25101, 15653, F25, 33) (dual of [15653, 15552, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(25) [i] based on
- linear OA(2594, 15625, F25, 33) (dual of [15625, 15531, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(257, 28, F25, 6) (dual of [28, 21, 7]-code), using
- construction X applied to RS(19,25) ⊂ RS(21,25) [i] based on
- linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using Reed–Solomon code RS(19,25) [i]
- linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using Reed–Solomon code RS(21,25) [i]
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to RS(19,25) ⊂ RS(21,25) [i] based on
- construction X applied to Ce(32) ⊂ Ce(25) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25101, 15653, F25, 33) (dual of [15653, 15552, 34]-code), using
- discarding factors / shortening the dual code based on linear OOA(25101, 15653, F25, 2, 33) (dual of [(15653, 2), 31205, 34]-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.