Information on Result #642281
Linear OA(1678, 84, F16, 67) (dual of [84, 6, 68]-code), using juxtaposition based on
- linear OA(1614, 20, F16, 13) (dual of [20, 6, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1614, 24, F16, 13) (dual of [24, 10, 14]-code), using
- extended algebraic-geometric code AGe(F,10P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1614, 24, F16, 13) (dual of [24, 10, 14]-code), using
- linear OA(1658, 64, F16, 53) (dual of [64, 6, 54]-code), using
- algebraic-geometric code AG(F,10P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1678, 84, F16, 66) (dual of [84, 6, 67]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(1678, 42, F16, 2, 67) (dual of [(42, 2), 6, 68]-NRT-code) | [i] | OOA Folding | |