Information on Result #1631412
Linear OOA(2115, 2097150, F2, 5, 10) (dual of [(2097150, 5), 10485635, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on 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
Mode: 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(2116, 2097150, F2, 5, 10) (dual of [(2097150, 5), 10485634, 11]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2115, 2097149, F2, 6, 10) (dual of [(2097149, 6), 12582779, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(2115, 2097149, F2, 7, 10) (dual of [(2097149, 7), 14679928, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(2115, 2097149, F2, 8, 10) (dual of [(2097149, 8), 16777077, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(2115, 2097149, F2, 15, 10) (dual of [(2097149, 15), 31457120, 11]-NRT-code) | [i] | ||