Information on Result #1079614
Linear OOA(2166, 2097659, F2, 4, 12) (dual of [(2097659, 4), 8390470, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(228, 509, F2, 4, 6) (dual of [(509, 4), 2008, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(228, 510, F2, 3, 6) (dual of [(510, 3), 1502, 7]-NRT-code), using
- 1 step truncation [i] based on linear OOA(229, 511, F2, 3, 7) (dual of [(511, 3), 1504, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(228, 510, F2, 3, 6) (dual of [(510, 3), 1502, 7]-NRT-code), using
- linear OOA(2138, 2097150, F2, 4, 12) (dual of [(2097150, 4), 8388462, 13]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2138, 8388600, F2, 12) (dual of [8388600, 8388462, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- OOA 4-folding [i] based on linear OA(2138, 8388600, F2, 12) (dual of [8388600, 8388462, 13]-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(2230, 4194808, F2, 4, 12) (dual of [(4194808, 4), 16779002, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2231, 4194809, F2, 4, 12) (dual of [(4194809, 4), 16779005, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2233, 4195318, F2, 4, 12) (dual of [(4195318, 4), 16781039, 13]-NRT-code) | [i] | ||