Information on Result #1298556
Linear OA(3134, 157, F3, 65) (dual of [157, 23, 66]-code), using construction X with Varšamov bound based on
- linear OA(3126, 146, F3, 65) (dual of [146, 20, 66]-code), using
- 2 times truncation [i] based on linear OA(3128, 148, F3, 67) (dual of [148, 20, 68]-code), using
- linear OA(3126, 149, F3, 60) (dual of [149, 23, 61]-code), using Gilbert–Varšamov bound and bm = 3126 > Vbs−1(k−1) = 951549 571175 241620 056043 924376 517191 154156 309763 606615 766417 [i]
- linear OA(35, 8, F3, 4) (dual of [8, 3, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3135, 159, F3, 65) (dual of [159, 24, 66]-code) | [i] | Construction X with Varšamov Bound | |