Information on Result #630070
Linear OA(2253, 325, F2, 83) (dual of [325, 72, 84]-code), using concatenation of two codes based on
- linear OA(1647, 65, F16, 41) (dual of [65, 18, 42]-code), using
- extended algebraic-geometric code AGe(F,23P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,23P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2253, 325, F2, 82) (dual of [325, 72, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2254, 326, F2, 83) (dual of [326, 72, 84]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2255, 327, F2, 83) (dual of [327, 72, 84]-code) | [i] | ||
| 4 | Linear OA(2256, 328, F2, 83) (dual of [328, 72, 84]-code) | [i] | ||
| 5 | Linear OA(2257, 329, F2, 83) (dual of [329, 72, 84]-code) | [i] | ||
| 6 | Linear OA(2258, 330, F2, 83) (dual of [330, 72, 84]-code) | [i] | ||
| 7 | Linear OA(2252, 324, F2, 82) (dual of [324, 72, 83]-code) | [i] | Truncation | |
| 8 | Linear OOA(2253, 162, F2, 2, 83) (dual of [(162, 2), 71, 84]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2253, 108, F2, 3, 83) (dual of [(108, 3), 71, 84]-NRT-code) | [i] | ||