Information on Result #644166
Linear OA(835, 47, F8, 25) (dual of [47, 12, 26]-code), using construction X applied to AG(F,18P) ⊂ AG(F,20P) based on
- linear OA(834, 44, F8, 25) (dual of [44, 10, 26]-code), using algebraic-geometric code AG(F,18P) [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using
- linear OA(832, 44, F8, 23) (dual of [44, 12, 24]-code), using algebraic-geometric code AG(F,20P) [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45 (see above)
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(2246, 141, F2, 2, 103) (dual of [(141, 2), 36, 104]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OOA(2246, 94, F2, 3, 103) (dual of [(94, 3), 36, 104]-NRT-code) | [i] | ||
| 3 | Linear OOA(835, 23, F8, 2, 25) (dual of [(23, 2), 11, 26]-NRT-code) | [i] | OOA Folding | |