Information on Result #1425462
Linear OOA(4170, 16186, F4, 2, 30) (dual of [(16186, 2), 32202, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4170, 16186, F4, 30) (dual of [16186, 16016, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4170, 16400, F4, 30) (dual of [16400, 16230, 31]-code), using
- (u, u+v)-construction [i] based on
- linear OA(415, 16, F4, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,4)), using
- dual of repetition code with length 16 [i]
- linear OA(4155, 16384, F4, 30) (dual of [16384, 16229, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(415, 16, F4, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,4)), using
- (u, u+v)-construction [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(4170, 8093, F4, 3, 30) (dual of [(8093, 3), 24109, 31]-NRT-code) | [i] | OOA Folding | |