Information on Result #825012
Linear OOA(4210, 131082, F4, 2, 31) (dual of [(131082, 2), 261954, 32]-NRT-code), using OOA 2-folding based on linear OA(4210, 262164, F4, 31) (dual of [262164, 261954, 32]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4209, 262163, F4, 31) (dual of [262163, 261954, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(41, 19, F4, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
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(4211, 131082, F4, 2, 31) (dual of [(131082, 2), 261953, 32]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4210, 111749, F4, 3, 31) (dual of [(111749, 3), 335037, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (179, 210, 111749)-net over F4 | [i] | ||