Information on Result #1667250
Linear OOA(2191, 2927272, F2, 6, 13) (dual of [(2927272, 6), 17563441, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2191, 2927272, F2, 3, 13) (dual of [(2927272, 3), 8781625, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(252, 131071, F2, 3, 6) (dual of [(131071, 3), 393161, 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(2139, 2796201, F2, 3, 13) (dual of [(2796201, 3), 8388464, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- linear OOA(252, 131071, F2, 3, 6) (dual of [(131071, 3), 393161, 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(2192, 2927272, F2, 6, 13) (dual of [(2927272, 6), 17563440, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2191, 2927271, F2, 7, 13) (dual of [(2927271, 7), 20490706, 14]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(2191, 2927271, F2, 8, 13) (dual of [(2927271, 8), 23417977, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2191, 2927271, F2, 18, 13) (dual of [(2927271, 18), 52690687, 14]-NRT-code) | [i] | ||