Information on Result #1545140
Linear OOA(4243, 152323, F4, 3, 34) (dual of [(152323, 3), 456726, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4243, 152323, F4, 34) (dual of [152323, 152080, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4243, 262162, F4, 34) (dual of [262162, 261919, 35]-code), using
- (u, u+v)-construction [i] based on
- linear OA(417, 18, F4, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,4)), using
- dual of repetition code with length 18 [i]
- linear OA(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(417, 18, F4, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,4)), 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(4243, 25387, F4, 39, 34) (dual of [(25387, 39), 989850, 35]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |