Information on Result #1115510
Linear OOA(2121, 1677723, F2, 5, 11) (dual of [(1677723, 5), 8388494, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25, 3, F2, 5, 5) (dual of [(3, 5), 10, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;10,2) [i]
- linear OOA(2116, 1677720, F2, 5, 11) (dual of [(1677720, 5), 8388484, 12]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2116, 8388600, F2, 11) (dual of [8388600, 8388484, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- OOA 5-folding [i] based on linear OA(2116, 8388600, F2, 11) (dual of [8388600, 8388484, 12]-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, 1677722, F2, 6, 11) (dual of [(1677722, 6), 10066211, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2121, 1677722, F2, 7, 11) (dual of [(1677722, 7), 11743933, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(2121, 1677722, F2, 8, 11) (dual of [(1677722, 8), 13421655, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(2121, 1677722, F2, 15, 11) (dual of [(1677722, 15), 25165709, 12]-NRT-code) | [i] | ||