Information on Result #1190956
Digital (82, 107, 1401)-net over F7, using net defined by OOA based on linear OOA(7107, 1401, F7, 25, 25) (dual of [(1401, 25), 34918, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(7107, 16813, F7, 25) (dual of [16813, 16706, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(7107, 16818, F7, 25) (dual of [16818, 16711, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(7106, 16807, F7, 25) (dual of [16807, 16701, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(71, 11, F7, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(7107, 16818, F7, 25) (dual of [16818, 16711, 26]-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 (83, 108, 1401)-net over F7 | [i] | Net Duplication | |