Information on Result #1009505
Linear OOA(2218, 2796206, F2, 3, 19) (dual of [(2796206, 3), 8388400, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(2208, 2796201, F2, 3, 19) (dual of [(2796201, 3), 8388395, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- OOA 3-folding [i] based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-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(2218, 1398103, F2, 6, 19) (dual of [(1398103, 6), 8388400, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2218, 932068, F2, 21, 19) (dual of [(932068, 21), 19573210, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |