Information on Result #1317925
Linear OA(467, 92, F4, 34) (dual of [92, 25, 35]-code), using construction X with Varšamov bound based on
- linear OA(466, 90, F4, 34) (dual of [90, 24, 35]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(462, 84, F4, 34) (dual of [84, 22, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(462, 88, F4, 34) (dual of [88, 26, 35]-code), using
- strength reduction [i] based on linear OA(462, 88, F4, 35) (dual of [88, 26, 36]-code), using
- a “GraX†code from Grassl’s database [i]
- strength reduction [i] based on linear OA(462, 88, F4, 35) (dual of [88, 26, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(462, 88, F4, 34) (dual of [88, 26, 35]-code), using
- linear OA(462, 86, F4, 31) (dual of [86, 24, 32]-code), using Gilbert–Varšamov bound and bm = 462 > Vbs−1(k−1) = 20 918557 106700 044770 020769 572717 968224 [i]
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(2,4) [i]
- linear OA(462, 84, F4, 34) (dual of [84, 22, 35]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(466, 91, F4, 33) (dual of [91, 25, 34]-code), using Gilbert–Varšamov bound and bm = 466 > Vbs−1(k−1) = 5421 346583 262138 746445 802629 350554 983514 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(468, 94, F4, 34) (dual of [94, 26, 35]-code) | [i] | Construction X with Varšamov Bound | |