Information on Result #1543258
Linear OOA(4223, 158056, F4, 3, 31) (dual of [(158056, 3), 473945, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4223, 158056, F4, 31) (dual of [158056, 157833, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4223, 262160, F4, 31) (dual of [262160, 261937, 32]-code), using
- (u, u+v)-construction [i] based on
- linear OA(415, 16, F4, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,4)), using
- dual of repetition code with length 16 [i]
- linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(415, 16, F4, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,4)), 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(4223, 31611, F4, 33, 31) (dual of [(31611, 33), 1042940, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |