Information on Result #2496837
Linear OOA(4232, 524313, F4, 2, 30) (dual of [(524313, 2), 1048394, 31]-NRT-code), using 41 times duplication based on linear OOA(4231, 524313, F4, 2, 30) (dual of [(524313, 2), 1048395, 31]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4229, 524312, F4, 2, 30) (dual of [(524312, 2), 1048395, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4229, 1048624, F4, 30) (dual of [1048624, 1048395, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4221, 1048576, F4, 30) (dual of [1048576, 1048355, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4181, 1048576, F4, 25) (dual of [1048576, 1048395, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(48, 48, F4, 4) (dual of [48, 40, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 85, F4, 4) (dual of [85, 77, 5]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- OOA 2-folding [i] based on linear OA(4229, 1048624, F4, 30) (dual of [1048624, 1048395, 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(4232, 489695, F4, 3, 30) (dual of [(489695, 3), 1468853, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (202, 232, 489695)-net over F4 | [i] | ||