Information on Result #1537687
Linear OOA(4147, 15005, F4, 3, 26) (dual of [(15005, 3), 44868, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4147, 15005, F4, 26) (dual of [15005, 14858, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4147, 16398, F4, 26) (dual of [16398, 16251, 27]-code), using
- (u, u+v)-construction [i] based on
- linear OA(413, 14, F4, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,4)), using
- dual of repetition code with length 14 [i]
- linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(413, 14, F4, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,4)), 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(4147, 3000, F4, 33, 26) (dual of [(3000, 33), 98853, 27]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |