Information on Result #1321643
Linear OA(5116, 137, F5, 72) (dual of [137, 21, 73]-code), using construction X with Varšamov bound based on
- linear OA(5108, 128, F5, 72) (dual of [128, 20, 73]-code), using
- a “GraX†code from Grassl’s database [i]
- linear OA(5108, 129, F5, 64) (dual of [129, 21, 65]-code), using Gilbert–Varšamov bound and bm = 5108 > Vbs−1(k−1) = 2627 362539 240791 879310 936044 483348 959261 615018 559639 641667 074722 877456 858625 [i]
- linear OA(57, 8, F5, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,5)), using
- dual of repetition code with length 8 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5117, 138, F5, 72) (dual of [138, 21, 73]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5114, 135, F5, 70) (dual of [135, 21, 71]-code) | [i] | Truncation | |