Information on Result #1016352
Linear OOA(9150, 5592430, F9, 3, 18) (dual of [(5592430, 3), 16777140, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(912, 28, F9, 3, 9) (dual of [(28, 3), 72, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,74P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(3;F,74P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OOA(9138, 5592402, F9, 3, 18) (dual of [(5592402, 3), 16777068, 19]-NRT-code), using
- trace code [i] based on linear OOA(8169, 2796201, F81, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
- trace code [i] based on linear OOA(8169, 2796201, F81, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(9150, 1864143, F9, 21, 18) (dual of [(1864143, 21), 39146853, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |