Information on Result #1087605
Linear OOA(3239, 61, F3, 4, 200) (dual of [(61, 4), 5, 201]-NRT-code), using juxtaposition based on
- linear OOA(315, 5, F3, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(315, 7, F3, 4, 14) (dual of [(7, 4), 13, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,13P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(315, 7, F3, 4, 14) (dual of [(7, 4), 13, 15]-NRT-code), using
- linear OOA(3219, 56, F3, 4, 185) (dual of [(56, 4), 5, 186]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3107, 28, F3, 4, 92) (dual of [(28, 4), 5, 93]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,19P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- repeating each code word 2 times [i] based on linear OOA(3107, 28, F3, 4, 92) (dual of [(28, 4), 5, 93]-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(3239, 61, F3, 4, 199) (dual of [(61, 4), 5, 200]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3239, 61, F3, 4, 198) (dual of [(61, 4), 5, 199]-NRT-code) | [i] | ||
| 3 | Linear OOA(3239, 61, F3, 4, 197) (dual of [(61, 4), 5, 198]-NRT-code) | [i] | ||
| 4 | Linear OOA(3239, 61, F3, 4, 196) (dual of [(61, 4), 5, 197]-NRT-code) | [i] | ||
| 5 | Linear OOA(3239, 61, F3, 4, 195) (dual of [(61, 4), 5, 196]-NRT-code) | [i] | ||
| 6 | Linear OOA(3239, 61, F3, 4, 194) (dual of [(61, 4), 5, 195]-NRT-code) | [i] | ||