Information on Result #1298319
Linear OA(3101, 125, F3, 47) (dual of [125, 24, 48]-code), using construction X with Varšamov bound based on
- linear OA(398, 120, F3, 47) (dual of [120, 22, 48]-code), using
- concatenation of two codes [i] based on
- linear OA(919, 30, F9, 15) (dual of [30, 11, 16]-code), using
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- 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]
- linear OA(919, 30, F9, 15) (dual of [30, 11, 16]-code), using
- concatenation of two codes [i] based on
- linear OA(398, 122, F3, 45) (dual of [122, 24, 46]-code), using Gilbert–Varšamov bound and bm = 398 > Vbs−1(k−1) = 51126 623331 843060 253188 602457 231269 107784 666403 [i]
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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(3102, 127, F3, 47) (dual of [127, 25, 48]-code) | [i] | Construction X with Varšamov Bound | |