Information on Result #1701549
Linear OOA(2190, 4325372, F2, 8, 12) (dual of [(4325372, 8), 34602786, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2190, 4325372, F2, 2, 12) (dual of [(4325372, 2), 8650554, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(252, 131071, F2, 2, 6) (dual of [(131071, 2), 262090, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (46, 52, 131071)-net over F2, using
- 1 times m-reduction [i] based on digital (46, 53, 131071)-net over F2, using
- extracting embedded OOA [i] based on digital (46, 52, 131071)-net over F2, using
- linear OOA(2138, 4194301, F2, 2, 12) (dual of [(4194301, 2), 8388464, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 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 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- linear OOA(252, 131071, F2, 2, 6) (dual of [(131071, 2), 262090, 7]-NRT-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(2191, 4325372, F2, 8, 12) (dual of [(4325372, 8), 34602785, 13]-NRT-code) | [i] | OOA Duplication | |