Information on Result #2419322
Linear OOA(2123, 72, F2, 2, 57) (dual of [(72, 2), 21, 58]-NRT-code), using strength reduction based on linear OOA(2123, 72, F2, 2, 59) (dual of [(72, 2), 21, 60]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(817, 24, F8, 14) (dual of [24, 7, 15]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,2) [i]
- linear OA(817, 24, F8, 14) (dual of [24, 7, 15]-code), 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 OOA(2122, 71, F2, 2, 56) (dual of [(71, 2), 20, 57]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2123, 36, F2, 4, 57) (dual of [(36, 4), 21, 58]-NRT-code) | [i] | OOA Folding | |