Information on Result #1010612
Linear OOA(3127, 2796208, F3, 3, 12) (dual of [(2796208, 3), 8388497, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(37, 7, F3, 3, 6) (dual of [(7, 3), 14, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,14P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3120, 2796201, F3, 3, 12) (dual of [(2796201, 3), 8388483, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-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(3127, 1398103, F3, 15, 12) (dual of [(1398103, 15), 20971418, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |