Information on Result #1009223
Linear OOA(2258, 5854544, F2, 3, 13) (dual of [(5854544, 3), 17563374, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(267, 4194302, F2, 3, 6) (dual of [(4194302, 3), 12582839, 7]-NRT-code), using
- 1 step truncation [i] based on linear OOA(268, 4194303, F2, 3, 7) (dual of [(4194303, 3), 12582841, 8]-NRT-code), using
- 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
- (u, u+v)-construction [i] based on
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(2259, 5854544, F2, 3, 13) (dual of [(5854544, 3), 17563373, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2260, 5854544, F2, 3, 13) (dual of [(5854544, 3), 17563372, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2258, 2927272, F2, 5, 13) (dual of [(2927272, 5), 14636102, 14]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2258, 2927272, F2, 6, 13) (dual of [(2927272, 6), 17563374, 14]-NRT-code) | [i] | ||