Information on Result #1051151
Linear OOA(293, 2097150, F2, 4, 9) (dual of [(2097150, 4), 8388507, 10]-NRT-code), using OOA 4-folding based on linear OA(293, 8388600, F2, 9) (dual of [8388600, 8388507, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
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(293, 2097150, F2, 4, 8) (dual of [(2097150, 4), 8388507, 9]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(294, 2097150, F2, 4, 9) (dual of [(2097150, 4), 8388506, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(297, 2097153, F2, 4, 9) (dual of [(2097153, 4), 8388515, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(298, 2097155, F2, 4, 9) (dual of [(2097155, 4), 8388522, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(299, 2097158, F2, 4, 9) (dual of [(2097158, 4), 8388533, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(2100, 2097161, F2, 4, 9) (dual of [(2097161, 4), 8388544, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(2101, 2097167, F2, 4, 9) (dual of [(2097167, 4), 8388567, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(2102, 2097173, F2, 4, 9) (dual of [(2097173, 4), 8388590, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(2103, 2097182, F2, 4, 9) (dual of [(2097182, 4), 8388625, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(2104, 2097197, F2, 4, 9) (dual of [(2097197, 4), 8388684, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(2105, 2097215, F2, 4, 9) (dual of [(2097215, 4), 8388755, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(2106, 2097230, F2, 4, 9) (dual of [(2097230, 4), 8388814, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(2107, 2097278, F2, 4, 9) (dual of [(2097278, 4), 8389005, 10]-NRT-code) | [i] | ||
| 14 | Linear OOA(2108, 2097299, F2, 4, 9) (dual of [(2097299, 4), 8389088, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(2109, 2097407, F2, 4, 9) (dual of [(2097407, 4), 8389519, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(2111, 2097661, F2, 4, 9) (dual of [(2097661, 4), 8390533, 10]-NRT-code) | [i] | ||
| 17 | Linear OOA(2112, 2097663, F2, 4, 9) (dual of [(2097663, 4), 8390540, 10]-NRT-code) | [i] | ||
| 18 | Linear OOA(2113, 2098175, F2, 4, 9) (dual of [(2098175, 4), 8392587, 10]-NRT-code) | [i] | ||
| 19 | Linear OOA(2115, 2099197, F2, 4, 9) (dual of [(2099197, 4), 8396673, 10]-NRT-code) | [i] | ||