Information on Result #1079422
Linear OOA(2121, 2097155, F2, 4, 10) (dual of [(2097155, 4), 8388499, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(26, 5, F2, 4, 5) (dual of [(5, 4), 14, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,14P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(2115, 2097150, F2, 4, 10) (dual of [(2097150, 4), 8388485, 11]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2115, 8388600, F2, 10) (dual of [8388600, 8388485, 11]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using
- OOA 4-folding [i] based on linear OA(2115, 8388600, F2, 10) (dual of [8388600, 8388485, 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(2165, 4194308, F2, 4, 10) (dual of [(4194308, 4), 16777067, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2167, 4194310, F2, 4, 10) (dual of [(4194310, 4), 16777073, 11]-NRT-code) | [i] | ||