Information on Result #1304982
Linear OA(3161, 810, F3, 39) (dual of [810, 649, 40]-code), using 74 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 0, 0, 0, 1, 6 times 0, 1, 9 times 0, 1, 13 times 0, 1, 16 times 0, 1, 19 times 0) based on linear OA(3153, 728, F3, 39) (dual of [728, 575, 40]-code), using
- the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
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(3161, 810, F3, 2, 39) (dual of [(810, 2), 1459, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(3161, 810, F3, 3, 39) (dual of [(810, 3), 2269, 40]-NRT-code) | [i] | ||
3 | Linear OOA(3161, 810, F3, 4, 39) (dual of [(810, 4), 3079, 40]-NRT-code) | [i] | ||
4 | Linear OOA(3161, 810, F3, 5, 39) (dual of [(810, 5), 3889, 40]-NRT-code) | [i] | ||
5 | Digital (122, 161, 810)-net over F3 | [i] | ||
6 | Linear OOA(3161, 405, F3, 2, 39) (dual of [(405, 2), 649, 40]-NRT-code) | [i] | OOA Folding |