Information on Result #1298741
Linear OA(3153, 178, F3, 74) (dual of [178, 25, 75]-code), using construction X with Varšamov bound based on
- linear OA(3152, 176, F3, 74) (dual of [176, 24, 75]-code), using
- concatenation of two codes [i] based on
- linear OA(2714, 22, F27, 14) (dual of [22, 8, 15]-code or 22-arc in PG(13,27)), using
- discarding factors / shortening the dual code based on linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
- Reed–Solomon code RS(13,27) [i]
- discarding factors / shortening the dual code based on linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
- linear OA(35, 8, F3, 4) (dual of [8, 3, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- linear OA(2714, 22, F27, 14) (dual of [22, 8, 15]-code or 22-arc in PG(13,27)), using
- concatenation of two codes [i] based on
- linear OA(3152, 177, F3, 73) (dual of [177, 25, 74]-code), using Gilbert–Varšamov bound and bm = 3152 > Vbs−1(k−1) = 2 241527 320253 829221 621104 998663 365749 709880 683148 765764 870068 139659 898817 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 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(3154, 180, F3, 74) (dual of [180, 26, 75]-code) | [i] | Construction X with Varšamov Bound | |