Information on Result #805562
Linear OOA(293, 4194301, F2, 2, 9) (dual of [(4194301, 2), 8388509, 10]-NRT-code), using OOA 2-folding based on linear OA(293, 8388602, F2, 9) (dual of [8388602, 8388509, 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, 4194301, F2, 2, 8) (dual of [(4194301, 2), 8388509, 9]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(295, 4194302, F2, 2, 9) (dual of [(4194302, 2), 8388509, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(294, 4194301, F2, 2, 9) (dual of [(4194301, 2), 8388508, 10]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(297, 4194304, F2, 2, 9) (dual of [(4194304, 2), 8388511, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(298, 4194306, F2, 2, 9) (dual of [(4194306, 2), 8388514, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(299, 4194309, F2, 2, 9) (dual of [(4194309, 2), 8388519, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(2100, 4194312, F2, 2, 9) (dual of [(4194312, 2), 8388524, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(2101, 4194318, F2, 2, 9) (dual of [(4194318, 2), 8388535, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(2102, 4194324, F2, 2, 9) (dual of [(4194324, 2), 8388546, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(2103, 4194333, F2, 2, 9) (dual of [(4194333, 2), 8388563, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(2104, 4194348, F2, 2, 9) (dual of [(4194348, 2), 8388592, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(2105, 4194366, F2, 2, 9) (dual of [(4194366, 2), 8388627, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(2106, 4194381, F2, 2, 9) (dual of [(4194381, 2), 8388656, 10]-NRT-code) | [i] | ||
| 14 | Linear OOA(2107, 4194429, F2, 2, 9) (dual of [(4194429, 2), 8388751, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(2108, 4194450, F2, 2, 9) (dual of [(4194450, 2), 8388792, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(2109, 4194558, F2, 2, 9) (dual of [(4194558, 2), 8389007, 10]-NRT-code) | [i] | ||
| 17 | Linear OOA(2111, 4194812, F2, 2, 9) (dual of [(4194812, 2), 8389513, 10]-NRT-code) | [i] | ||
| 18 | Linear OOA(2112, 4194814, F2, 2, 9) (dual of [(4194814, 2), 8389516, 10]-NRT-code) | [i] | ||
| 19 | Linear OOA(2113, 4195326, F2, 2, 9) (dual of [(4195326, 2), 8390539, 10]-NRT-code) | [i] | ||
| 20 | Linear OOA(2115, 4196348, F2, 2, 9) (dual of [(4196348, 2), 8392581, 10]-NRT-code) | [i] | ||
| 21 | Linear OOA(2106, 4194382, F2, 2, 9) (dual of [(4194382, 2), 8388658, 10]-NRT-code) | [i] | ||
| 22 | Linear OOA(2108, 4194452, F2, 2, 9) (dual of [(4194452, 2), 8388796, 10]-NRT-code) | [i] | ||
| 23 | Linear OOA(2110, 4194566, F2, 2, 9) (dual of [(4194566, 2), 8389022, 10]-NRT-code) | [i] | ||
| 24 | Linear OOA(2112, 4194823, F2, 2, 9) (dual of [(4194823, 2), 8389534, 10]-NRT-code) | [i] | ||
| 25 | Linear OOA(2114, 4195336, F2, 2, 9) (dual of [(4195336, 2), 8390558, 10]-NRT-code) | [i] | ||