Information on Result #1009470
Linear OOA(2219, 2796208, F2, 3, 18) (dual of [(2796208, 3), 8388405, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(212, 7, F2, 3, 9) (dual of [(7, 3), 9, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,11P) [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, using
- linear OOA(2207, 2796201, F2, 3, 18) (dual of [(2796201, 3), 8388396, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-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(2219, 1398104, F2, 6, 18) (dual of [(1398104, 6), 8388405, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2219, 932069, F2, 21, 18) (dual of [(932069, 21), 19573230, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |