Information on Result #1027158
Linear OOA(4245, 85, F4, 3, 191) (dual of [(85, 3), 10, 192]-NRT-code), using juxtaposition based on
- linear OOA(465, 25, F4, 3, 55) (dual of [(25, 3), 10, 56]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(465, 26, F4, 3, 55) (dual of [(26, 3), 13, 56]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,22P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- discarding factors / shortening the dual code based on linear OOA(465, 26, F4, 3, 55) (dual of [(26, 3), 13, 56]-NRT-code), using
- linear OOA(4170, 60, F4, 3, 135) (dual of [(60, 3), 10, 136]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(480, 30, F4, 3, 67) (dual of [(30, 3), 10, 68]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,22P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- F4 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,22P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- repeating each code word 2 times [i] based on linear OOA(480, 30, F4, 3, 67) (dual of [(30, 3), 10, 68]-NRT-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(4245, 85, F4, 3, 190) (dual of [(85, 3), 10, 191]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4245, 85, F4, 3, 189) (dual of [(85, 3), 10, 190]-NRT-code) | [i] | ||
| 3 | Linear OOA(4245, 85, F4, 3, 188) (dual of [(85, 3), 10, 189]-NRT-code) | [i] | ||