Information on Result #1299911
Linear OA(476, 101, F4, 39) (dual of [101, 25, 40]-code), using construction X with Varšamov bound based on
- linear OA(475, 99, F4, 39) (dual of [99, 24, 40]-code), using
- concatenation of two codes [i] based on
- linear OA(1621, 33, F16, 19) (dual of [33, 12, 20]-code), using
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(1621, 33, F16, 19) (dual of [33, 12, 20]-code), using
- concatenation of two codes [i] based on
- linear OA(475, 100, F4, 38) (dual of [100, 25, 39]-code), using Gilbert–Varšamov bound and bm = 475 > Vbs−1(k−1) = 1203 436541 885329 207789 873547 760829 463587 628320 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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(477, 103, F4, 39) (dual of [103, 26, 40]-code) | [i] | Construction X with Varšamov Bound | |