Information on Result #1534698
Linear OOA(476, 553193, F4, 3, 10) (dual of [(553193, 3), 1659503, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(476, 553193, F4, 10) (dual of [553193, 553117, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(476, 1048582, F4, 10) (dual of [1048582, 1048506, 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(471, 1048576, F4, 10) (dual of [1048576, 1048505, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, 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(476, 276596, F4, 15, 10) (dual of [(276596, 15), 4148864, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |