Information on Result #1642831
Linear OOA(3115, 3954, F3, 5, 20) (dual of [(3954, 5), 19655, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3115, 3954, F3, 20) (dual of [3954, 3839, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3115, 6572, F3, 20) (dual of [6572, 6457, 21]-code), using
- (u, u+v)-construction [i] based on
- linear OA(310, 11, F3, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,3)), using
- dual of repetition code with length 11 [i]
- linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(310, 11, F3, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,3)), 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(3115, 1976, F3, 25, 20) (dual of [(1976, 25), 49285, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |