Information on Result #1115450
Linear OOA(2121, 1677725, F2, 5, 10) (dual of [(1677725, 5), 8388504, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(26, 5, F2, 5, 5) (dual of [(5, 5), 19, 6]-NRT-code), using
- appending kth column [i] 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
- appending kth column [i] based on linear OOA(26, 5, F2, 4, 5) (dual of [(5, 4), 14, 6]-NRT-code), using
- linear OOA(2115, 1677720, F2, 5, 10) (dual of [(1677720, 5), 8388485, 11]-NRT-code), using
- OOA 5-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 5-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(2121, 1677724, F2, 6, 10) (dual of [(1677724, 6), 10066223, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2121, 1677724, F2, 7, 10) (dual of [(1677724, 7), 11743947, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(2121, 1677724, F2, 8, 10) (dual of [(1677724, 8), 13421671, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(2121, 1677724, F2, 15, 10) (dual of [(1677724, 15), 25165739, 11]-NRT-code) | [i] | ||