Information on Result #1365623
Linear OOA(4253, 131097, F4, 2, 36) (dual of [(131097, 2), 261941, 37]-NRT-code), using OOA 2-folding based on linear OA(4253, 262194, F4, 36) (dual of [262194, 261941, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(4253, 262195, F4, 36) (dual of [262195, 261942, 37]-code), using
- construction X applied to Ce(36) ⊂ Ce(29) [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(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(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- a “DaH†code from Brouwer’s database [i]
- construction X applied to Ce(36) ⊂ Ce(29) [i] based on
Mode: 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(4253, 131097, F4, 3, 36) (dual of [(131097, 3), 393038, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (217, 253, 131097)-net over F4 | [i] | ||