Information on Result #1321090
Linear OA(361, 116, F3, 26) (dual of [116, 55, 27]-code), using construction X with Varšamov bound based on
- linear OA(354, 108, F3, 26) (dual of [108, 54, 27]-code), using
- a “Gra†code from Grassl’s database [i]
- linear OA(354, 109, F3, 19) (dual of [109, 55, 20]-code), using Gilbert–Varšamov bound and bm = 354 > Vbs−1(k−1) = 40 480976 533009 988706 361201 [i]
- linear OA(36, 7, F3, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,3)), using
- dual of repetition code with length 7 [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.
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(361, 116, F3, 25) (dual of [116, 55, 26]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(362, 117, F3, 26) (dual of [117, 55, 27]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(363, 118, F3, 26) (dual of [118, 55, 27]-code) | [i] | ||
| 4 | Linear OA(359, 114, F3, 24) (dual of [114, 55, 25]-code) | [i] | Truncation | |