Information on Result #1026330
Linear OOA(3211, 73, F3, 3, 158) (dual of [(73, 3), 8, 159]-NRT-code), using juxtaposition based on
- linear OOA(343, 17, F3, 3, 34) (dual of [(17, 3), 8, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(343, 19, F3, 3, 34) (dual of [(19, 3), 14, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,22P) [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using
- discarding factors / shortening the dual code based on linear OOA(343, 19, F3, 3, 34) (dual of [(19, 3), 14, 35]-NRT-code), using
- linear OOA(3160, 56, F3, 3, 123) (dual of [(56, 3), 8, 124]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(376, 28, F3, 3, 61) (dual of [(28, 3), 8, 62]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,22P) [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(376, 28, F3, 3, 61) (dual of [(28, 3), 8, 62]-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(3211, 73, F3, 3, 157) (dual of [(73, 3), 8, 158]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3211, 73, F3, 3, 156) (dual of [(73, 3), 8, 157]-NRT-code) | [i] | ||
| 3 | Linear OOA(3211, 73, F3, 3, 155) (dual of [(73, 3), 8, 156]-NRT-code) | [i] | ||