Information on Result #1421091
Linear OOA(490, 51457, F4, 2, 14) (dual of [(51457, 2), 102824, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(490, 51457, F4, 14) (dual of [51457, 51367, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(490, 65546, F4, 14) (dual of [65546, 65456, 15]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(44, 5, F4, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,4)), using
- dual of repetition code with length 5 [i]
- linear OA(45, 5, F4, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,4)), using
- linear OA(481, 65536, F4, 14) (dual of [65536, 65455, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(44, 5, F4, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,4)), using
- (u, u−v, u+v+w)-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(490, 25728, F4, 3, 14) (dual of [(25728, 3), 77094, 15]-NRT-code) | [i] | OOA Folding | |