Information on Result #1528318
Linear OOA(3202, 5270, F3, 3, 35) (dual of [(5270, 3), 15608, 36]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3202, 5270, F3, 35) (dual of [5270, 5068, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(3202, 6579, F3, 35) (dual of [6579, 6377, 36]-code), using
- (u, u+v)-construction [i] based on
- linear OA(317, 18, F3, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,3)), using
- dual of repetition code with length 18 [i]
- linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using
- an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(317, 18, F3, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,3)), 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(3202, 2635, F3, 5, 35) (dual of [(2635, 5), 12973, 36]-NRT-code) | [i] | OOA Folding | |