Information on Result #1321519
Linear OA(4106, 139, F4, 54) (dual of [139, 33, 55]-code), using construction X with Varšamov bound based on
- linear OA(4100, 130, F4, 54) (dual of [130, 30, 55]-code), using
- 3 times truncation [i] based on linear OA(4103, 133, F4, 57) (dual of [133, 30, 58]-code), using
- a “GraCyc†code from Grassl’s database [i]
- 3 times truncation [i] based on linear OA(4103, 133, F4, 57) (dual of [133, 30, 58]-code), using
- linear OA(4100, 133, F4, 50) (dual of [133, 33, 51]-code), using Gilbert–Varšamov bound and bm = 4100 > Vbs−1(k−1) = 1 381613 336584 198287 422644 623204 335242 330421 935222 554980 138344 [i]
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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(4107, 141, F4, 54) (dual of [141, 34, 55]-code) | [i] | Construction X with Varšamov Bound | |