Information on Result #633946
Linear OA(493, 129, F4, 43) (dual of [129, 36, 44]-code), using concatenation of two codes based on
- linear OA(1625, 43, F16, 21) (dual of [43, 18, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(1625, 45, F16, 21) (dual of [45, 20, 22]-code), using
- extended algebraic-geometric code AGe(F,23P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OA(1625, 45, F16, 21) (dual of [45, 20, 22]-code), 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
Mode: Constructive and 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 OOA(493, 64, F4, 2, 43) (dual of [(64, 2), 35, 44]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(493, 43, F4, 3, 43) (dual of [(43, 3), 36, 44]-NRT-code) | [i] | ||