Information on Result #1429531
Linear OOA(4209, 4001, F4, 2, 46) (dual of [(4001, 2), 7793, 47]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4209, 4001, F4, 46) (dual of [4001, 3792, 47]-code), using
- discarding factors / shortening the dual code based on linear OA(4209, 4113, F4, 46) (dual of [4113, 3904, 47]-code), using
- construction X applied to Ce(45) ⊂ Ce(41) [i] based on
- linear OA(4205, 4096, F4, 46) (dual of [4096, 3891, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4187, 4096, F4, 42) (dual of [4096, 3909, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- construction X applied to Ce(45) ⊂ Ce(41) [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(4209, 2000, F4, 3, 46) (dual of [(2000, 3), 5791, 47]-NRT-code) | [i] | OOA Folding | |