Information on Result #1189398
Digital (109, 130, 39063)-net over F5, using net defined by OOA based on linear OOA(5130, 39063, F5, 21, 21) (dual of [(39063, 21), 820193, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(5130, 390631, F5, 21) (dual of [390631, 390501, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5130, 390634, F5, 21) (dual of [390634, 390504, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- linear OA(5129, 390625, F5, 21) (dual of [390625, 390496, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(5121, 390625, F5, 19) (dual of [390625, 390504, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(5130, 390634, F5, 21) (dual of [390634, 390504, 22]-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 (110, 131, 39063)-net over F5 | [i] | Net Duplication | |