Information on Result #1737036
Digital (45, 67, 2364)-net over F25, using net defined by OOA based on linear OOA(2567, 2364, F25, 26, 22) (dual of [(2364, 26), 61397, 23]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(2567, 14185, F25, 2, 22) (dual of [(14185, 2), 28303, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2567, 14190, F25, 2, 22) (dual of [(14190, 2), 28313, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2567, 14190, F25, 22) (dual of [14190, 14123, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2567, 15640, F25, 22) (dual of [15640, 15573, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- linear OA(2564, 15625, F25, 22) (dual of [15625, 15561, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2552, 15625, F25, 18) (dual of [15625, 15573, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(253, 15, F25, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,25) or 15-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(2567, 15640, F25, 22) (dual of [15640, 15573, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2567, 14190, F25, 22) (dual of [14190, 14123, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(2567, 14190, F25, 2, 22) (dual of [(14190, 2), 28313, 23]-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.