Information on Result #1129391
Linear OOA(3246, 79, F3, 5, 124) (dual of [(79, 5), 149, 125]-NRT-code), using construction X based on
- linear OOA(3231, 73, F3, 5, 124) (dual of [(73, 5), 134, 125]-NRT-code), using OOA from sequence [i] based on digital (107, 73)-sequence over F3, using
- base reduction for sequences [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- base reduction for sequences [i] based on digital (17, 73)-sequence over F9, using
- linear OOA(3216, 73, F3, 5, 109) (dual of [(73, 5), 149, 110]-NRT-code), using OOA from sequence [i] based on digital (107, 73)-sequence over F3 (see above)
- linear OOA(315, 6, F3, 5, 14) (dual of [(6, 5), 15, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(315, 7, F3, 5, 14) (dual of [(7, 5), 20, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,20P) [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, 5, 14) (dual of [(7, 5), 20, 15]-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(3246, 79, F3, 5, 123) (dual of [(79, 5), 149, 124]-NRT-code) | [i] | Strength Reduction for OOAs | |