Information on Result #1535711
Linear OOA(4107, 153236, F4, 3, 15) (dual of [(153236, 3), 459601, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4107, 153236, F4, 15) (dual of [153236, 153129, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(4107, 262152, F4, 15) (dual of [262152, 262045, 16]-code), using
- (u, u+v)-construction [i] based on
- linear OA(47, 8, F4, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,4)), using
- dual of repetition code with length 8 [i]
- linear OA(4100, 262144, F4, 15) (dual of [262144, 262044, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(47, 8, F4, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,4)), 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(4107, 51078, F4, 21, 15) (dual of [(51078, 21), 1072531, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |