Information on Result #1298320
Linear OA(399, 154, F3, 39) (dual of [154, 55, 40]-code), using construction X with Varšamov bound based on
- linear OA(398, 152, F3, 39) (dual of [152, 54, 40]-code), using
- concatenation of two codes [i] based on
- linear OA(2720, 38, F27, 19) (dual of [38, 18, 20]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 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
- linear OA(2720, 38, F27, 19) (dual of [38, 18, 20]-code), using
- concatenation of two codes [i] based on
- linear OA(398, 153, F3, 38) (dual of [153, 55, 39]-code), using Gilbert–Varšamov bound and bm = 398 > Vbs−1(k−1) = 53193 481587 228833 124116 165071 230955 694543 729377 [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(3100, 156, F3, 39) (dual of [156, 56, 40]-code) | [i] | Construction X with Varšamov Bound | |