Information on Result #1300372
Linear OA(4160, 200, F4, 83) (dual of [200, 40, 84]-code), using construction X with Varšamov bound based on
- linear OA(4159, 198, F4, 83) (dual of [198, 39, 84]-code), using
- concatenation of two codes [i] based on
- linear OA(6420, 33, F64, 20) (dual of [33, 13, 21]-code or 33-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- Reed–Solomon code RS(44,64) [i]
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- 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
- linear OA(6420, 33, F64, 20) (dual of [33, 13, 21]-code or 33-arc in PG(19,64)), using
- concatenation of two codes [i] based on
- linear OA(4159, 199, F4, 82) (dual of [199, 40, 83]-code), using Gilbert–Varšamov bound and bm = 4159 > Vbs−1(k−1) = 494195 258011 714927 659805 629377 341174 214295 512048 812481 802748 943012 074511 417935 935074 586501 510424 [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(4161, 202, F4, 83) (dual of [202, 41, 84]-code) | [i] | Construction X with Varšamov Bound | |