Information on Result #1420257
Linear OOA(455, 14531, F4, 2, 10) (dual of [(14531, 2), 29007, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(455, 14531, F4, 10) (dual of [14531, 14476, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(455, 16390, F4, 10) (dual of [16390, 16335, 11]-code), using
- (u, u+v)-construction [i] based on
- linear OA(45, 6, F4, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,4)), using
- dual of repetition code with length 6 [i]
- linear OA(450, 16384, F4, 10) (dual of [16384, 16334, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(45, 6, F4, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,4)), 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(455, 7265, F4, 3, 10) (dual of [(7265, 3), 21740, 11]-NRT-code) | [i] | OOA Folding | |