Information on Result #1321547
Linear OA(4117, 148, F4, 61) (dual of [148, 31, 62]-code), using construction X with Varšamov bound based on
- linear OA(4111, 139, F4, 61) (dual of [139, 28, 62]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4110, 138, F4, 61) (dual of [138, 28, 62]-code), using
- a “GraX†code from Grassl’s database [i]
- 1 times code embedding in larger space [i] based on linear OA(4110, 138, F4, 61) (dual of [138, 28, 62]-code), using
- linear OA(4111, 142, F4, 57) (dual of [142, 31, 58]-code), using Gilbert–Varšamov bound and bm = 4111 > Vbs−1(k−1) = 6 320756 830520 453878 309663 324763 526235 630964 324197 374226 611490 348936 [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(4118, 150, F4, 61) (dual of [150, 32, 62]-code) | [i] | Construction X with Varšamov Bound | |