Information on Result #1321113
Linear OA(368, 127, F3, 26) (dual of [127, 59, 27]-code), using construction X with Varšamov bound based on
- linear OA(357, 111, F3, 26) (dual of [111, 54, 27]-code), using
- 3 times code embedding in larger space [i] based on linear OA(354, 108, F3, 26) (dual of [108, 54, 27]-code), using
- a “Gra†code from Grassl’s database [i]
- 3 times code embedding in larger space [i] based on linear OA(354, 108, F3, 26) (dual of [108, 54, 27]-code), using
- linear OA(357, 116, F3, 20) (dual of [116, 59, 21]-code), using Gilbert–Varšamov bound and bm = 357 > Vbs−1(k−1) = 1408 298052 023336 278612 630107 [i]
- linear OA(36, 11, F3, 5) (dual of [11, 5, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-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(371, 132, F3, 26) (dual of [132, 61, 27]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(372, 134, F3, 26) (dual of [134, 62, 27]-code) | [i] | ||