Information on Result #1009022
Linear OOA(2121, 2796206, F2, 3, 10) (dual of [(2796206, 3), 8388497, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(26, 5, F2, 3, 5) (dual of [(5, 3), 9, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,9P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(2115, 2796201, F2, 3, 10) (dual of [(2796201, 3), 8388488, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-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(2121, 2491594, F2, 4, 10) (dual of [(2491594, 4), 9966255, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2121, 2491594, F2, 5, 10) (dual of [(2491594, 5), 12457849, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(2121, 2491594, F2, 6, 10) (dual of [(2491594, 6), 14949443, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(2121, 2491594, F2, 7, 10) (dual of [(2491594, 7), 17441037, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(2121, 2491594, F2, 8, 10) (dual of [(2491594, 8), 19932631, 11]-NRT-code) | [i] | ||
| 6 | Digital (111, 121, 2491594)-net over F2 | [i] | ||