Information on Result #1301004
Linear OA(4232, 287, F4, 120) (dual of [287, 55, 121]-code), using construction X with Varšamov bound based on
- linear OA(4231, 285, F4, 120) (dual of [285, 54, 121]-code), using
- 3 times truncation [i] based on linear OA(4234, 288, F4, 123) (dual of [288, 54, 124]-code), using
- concatenation of two codes [i] based on
- linear OA(6430, 48, F64, 30) (dual of [48, 18, 31]-code or 48-arc in PG(29,64)), using
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- Reed–Solomon code RS(34,64) [i]
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), 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(6430, 48, F64, 30) (dual of [48, 18, 31]-code or 48-arc in PG(29,64)), using
- concatenation of two codes [i] based on
- 3 times truncation [i] based on linear OA(4234, 288, F4, 123) (dual of [288, 54, 124]-code), using
- linear OA(4231, 286, F4, 119) (dual of [286, 55, 120]-code), using Gilbert–Varšamov bound and bm = 4231 > Vbs−1(k−1) = 11 253107 752901 579324 299615 899682 135372 145453 460630 829765 186194 277643 216496 989359 858324 104414 661626 680405 699124 624342 771146 699649 026339 437984 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4233, 289, F4, 120) (dual of [289, 56, 121]-code) | [i] | Construction X with Varšamov Bound | |