Information on Result #825753
Linear OOA(4251, 131093, F4, 2, 36) (dual of [(131093, 2), 261935, 37]-NRT-code), using OOA 2-folding based on linear OA(4251, 262186, F4, 36) (dual of [262186, 261935, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(4251, 262187, F4, 36) (dual of [262187, 261936, 37]-code), using
- construction X applied to Ce(36) ⊂ Ce(30) [i] based on
- linear OA(4244, 262144, F4, 37) (dual of [262144, 261900, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- 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(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(36) ⊂ Ce(30) [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(4251, 131093, F4, 3, 36) (dual of [(131093, 3), 393028, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (215, 251, 131093)-net over F4 | [i] | ||