Information on Result #1298443
Linear OA(3118, 143, F3, 56) (dual of [143, 25, 57]-code), using construction X with Varšamov bound based on
- linear OA(3114, 137, F3, 56) (dual of [137, 23, 57]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3101, 121, F3, 56) (dual of [121, 20, 57]-code), using
- linear OA(3101, 124, F3, 47) (dual of [124, 23, 48]-code), using Gilbert–Varšamov bound and bm = 3101 > Vbs−1(k−1) = 1 508709 484332 934481 238369 479730 901280 477889 508923 [i]
- linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- Simplex code S(3,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
- construction X with Varšamov bound [i] based on
- linear OA(3114, 139, F3, 53) (dual of [139, 25, 54]-code), using Gilbert–Varšamov bound and bm = 3114 > Vbs−1(k−1) = 2 261924 630587 464044 490642 753367 180594 764559 522006 790313 [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(3121, 148, F3, 56) (dual of [148, 27, 57]-code) | [i] | Construction X with Varšamov Bound | |