Information on Result #1298751
Linear OA(3159, 182, F3, 79) (dual of [182, 23, 80]-code), using construction X with Varšamov bound based on
- linear OA(3155, 176, F3, 79) (dual of [176, 21, 80]-code), using
- concatenation of two codes [i] based on
- linear OA(2715, 22, F27, 15) (dual of [22, 7, 16]-code or 22-arc in PG(14,27)), using
- discarding factors / shortening the dual code based on linear OA(2715, 27, F27, 15) (dual of [27, 12, 16]-code or 27-arc in PG(14,27)), using
- Reed–Solomon code RS(12,27) [i]
- discarding factors / shortening the dual code based on linear OA(2715, 27, F27, 15) (dual of [27, 12, 16]-code or 27-arc in PG(14,27)), 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(2715, 22, F27, 15) (dual of [22, 7, 16]-code or 22-arc in PG(14,27)), using
- concatenation of two codes [i] based on
- linear OA(3155, 178, F3, 76) (dual of [178, 23, 77]-code), using Gilbert–Varšamov bound and bm = 3155 > Vbs−1(k−1) = 86 626408 904563 074522 753981 772166 368022 939870 832946 234822 589443 627240 427331 [i]
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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.
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(3162, 187, F3, 79) (dual of [187, 25, 80]-code) | [i] | Construction X with Varšamov Bound | |