Information on Result #1016340
Linear OOA(995, 19717, F9, 3, 18) (dual of [(19717, 3), 59056, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(915, 34, F9, 3, 9) (dual of [(34, 3), 87, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,92P) [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, using
- linear OOA(980, 19683, F9, 3, 18) (dual of [(19683, 3), 58969, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(980, 59049, F9, 18) (dual of [59049, 58969, 19]-code), using
- 1 times truncation [i] based on linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using
- OOA 3-folding [i] based on linear OA(980, 59049, F9, 18) (dual of [59049, 58969, 19]-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(995, 6572, F9, 21, 18) (dual of [(6572, 21), 137917, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |