Information on Result #657113
Linear OA(838, 48, F8, 28) (dual of [48, 10, 29]-code), using construction X applied to AG(F,8P) ⊂ AG(F,9P) based on
- linear OA(837, 45, F8, 28) (dual of [45, 8, 29]-code), using algebraic-geometric code AG(F,8P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
- linear OA(835, 45, F8, 26) (dual of [45, 10, 27]-code), using algebraic-geometric code AG(F,9P) with degPÂ =Â 2 [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 OA(885, 94, F8, 57) (dual of [94, 9, 58]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OOA(2258, 144, F2, 2, 115) (dual of [(144, 2), 30, 116]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 3 | Linear OOA(2255, 141, F2, 2, 115) (dual of [(141, 2), 27, 116]-NRT-code) | [i] | ||
| 4 | Linear OOA(2258, 96, F2, 3, 115) (dual of [(96, 3), 30, 116]-NRT-code) | [i] | ||
| 5 | Linear OOA(2255, 94, F2, 3, 115) (dual of [(94, 3), 27, 116]-NRT-code) | [i] | ||
| 6 | Linear OOA(838, 24, F8, 2, 28) (dual of [(24, 2), 10, 29]-NRT-code) | [i] | OOA Folding | |