Information on Result #963909
Linear OOA(4246, 21871, F4, 3, 38) (dual of [(21871, 3), 65367, 39]-NRT-code), using OOA 3-folding based on linear OA(4246, 65613, F4, 38) (dual of [65613, 65367, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(28) [i] based on
- linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(421, 77, F4, 8) (dual of [77, 56, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(421, 84, F4, 8) (dual of [84, 63, 9]-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(4249, 21872, F4, 3, 38) (dual of [(21872, 3), 65367, 39]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4247, 21871, F4, 3, 38) (dual of [(21871, 3), 65366, 39]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4248, 21871, F4, 3, 38) (dual of [(21871, 3), 65365, 39]-NRT-code) | [i] | ||