Information on Result #1196986
Digital (51, 77, 1203)-net over F25, using net defined by OOA based on linear OOA(2577, 1203, F25, 26, 26) (dual of [(1203, 26), 31201, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(2577, 15639, F25, 26) (dual of [15639, 15562, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2577, 15641, F25, 26) (dual of [15641, 15564, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- 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(2561, 15625, F25, 21) (dual of [15625, 15564, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(254, 16, F25, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(2577, 15641, F25, 26) (dual of [15641, 15564, 27]-code), using
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (52, 78, 1203)-net over F25 | [i] | Net Duplication | |
| 2 | Digital (68, 94, 1269)-net over F25 | [i] | (u, u+v)-Construction for Nets | |