Information on Result #836427
Linear OOA(5129, 195316, F5, 2, 20) (dual of [(195316, 2), 390503, 21]-NRT-code), using OOA 2-folding based on linear OA(5129, 390632, F5, 20) (dual of [390632, 390503, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(5129, 390633, F5, 20) (dual of [390633, 390504, 21]-code), using
- 1 times truncation [i] 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
- 1 times truncation [i] 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5129, 195316, F5, 3, 20) (dual of [(195316, 3), 585819, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (109, 129, 195316)-net over F5 | [i] | ||