Information on Result #2496826
Linear OOA(4209, 131095, F4, 2, 30) (dual of [(131095, 2), 261981, 31]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(4207, 131094, F4, 2, 30) (dual of [(131094, 2), 261981, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4207, 262188, F4, 30) (dual of [262188, 261981, 31]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4206, 262187, F4, 30) (dual of [262187, 261981, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4206, 262187, F4, 30) (dual of [262187, 261981, 31]-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(4210, 131095, F4, 2, 30) (dual of [(131095, 2), 261980, 31]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4209, 131095, F4, 3, 30) (dual of [(131095, 3), 393076, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (179, 209, 131095)-net over F4 | [i] | ||