Information on Result #1016092
Linear OOA(999, 5592430, F9, 3, 12) (dual of [(5592430, 3), 16777191, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(99, 28, F9, 3, 6) (dual of [(28, 3), 75, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,77P) [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,77P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OOA(990, 5592402, F9, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
- trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-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(999, 2796214, F9, 15, 12) (dual of [(2796214, 15), 41943111, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |