Information on Result #1151569
Linear OOA(2231, 1198371, F2, 7, 21) (dual of [(1198371, 7), 8388366, 22]-NRT-code), using OOA 7-folding based on linear OA(2231, 8388597, F2, 21) (dual of [8388597, 8388366, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(2231, 1198371, F2, 7, 20) (dual of [(1198371, 7), 8388366, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2238, 1198372, F2, 7, 21) (dual of [(1198372, 7), 8388366, 22]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2232, 1198371, F2, 7, 21) (dual of [(1198371, 7), 8388365, 22]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2233, 1198371, F2, 7, 21) (dual of [(1198371, 7), 8388364, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(2234, 1198371, F2, 7, 21) (dual of [(1198371, 7), 8388363, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(2235, 1198371, F2, 7, 21) (dual of [(1198371, 7), 8388362, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(2236, 1198371, F2, 7, 21) (dual of [(1198371, 7), 8388361, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(2237, 1198371, F2, 7, 21) (dual of [(1198371, 7), 8388360, 22]-NRT-code) | [i] | ||
| 9 | Linear OOA(2241, 1198374, F2, 7, 21) (dual of [(1198374, 7), 8388377, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(2242, 1198376, F2, 7, 21) (dual of [(1198376, 7), 8388390, 22]-NRT-code) | [i] | ||
| 11 | Linear OOA(2243, 1198377, F2, 7, 21) (dual of [(1198377, 7), 8388396, 22]-NRT-code) | [i] | ||
| 12 | Linear OOA(2244, 1198378, F2, 7, 21) (dual of [(1198378, 7), 8388402, 22]-NRT-code) | [i] | ||
| 13 | Linear OOA(2245, 1198379, F2, 7, 21) (dual of [(1198379, 7), 8388408, 22]-NRT-code) | [i] | ||
| 14 | Linear OOA(2246, 1198380, F2, 7, 21) (dual of [(1198380, 7), 8388414, 22]-NRT-code) | [i] | ||
| 15 | Linear OOA(2247, 1198382, F2, 7, 21) (dual of [(1198382, 7), 8388427, 22]-NRT-code) | [i] | ||
| 16 | Linear OOA(2248, 1198384, F2, 7, 21) (dual of [(1198384, 7), 8388440, 22]-NRT-code) | [i] | ||
| 17 | Linear OOA(2249, 1198386, F2, 7, 21) (dual of [(1198386, 7), 8388453, 22]-NRT-code) | [i] | ||
| 18 | Linear OOA(2250, 1198388, F2, 7, 21) (dual of [(1198388, 7), 8388466, 22]-NRT-code) | [i] | ||
| 19 | Linear OOA(2251, 1198392, F2, 7, 21) (dual of [(1198392, 7), 8388493, 22]-NRT-code) | [i] | ||
| 20 | Linear OOA(2252, 1198394, F2, 7, 21) (dual of [(1198394, 7), 8388506, 22]-NRT-code) | [i] | ||
| 21 | Linear OOA(2254, 1198396, F2, 7, 21) (dual of [(1198396, 7), 8388518, 22]-NRT-code) | [i] | ||
| 22 | Linear OOA(2255, 1198397, F2, 7, 21) (dual of [(1198397, 7), 8388524, 22]-NRT-code) | [i] | ||
| 23 | Linear OOA(2256, 1198398, F2, 7, 21) (dual of [(1198398, 7), 8388530, 22]-NRT-code) | [i] | ||
| 24 | Linear OOA(2257, 1198400, F2, 7, 21) (dual of [(1198400, 7), 8388543, 22]-NRT-code) | [i] | ||
| 25 | Linear OOA(2258, 1198401, F2, 7, 21) (dual of [(1198401, 7), 8388549, 22]-NRT-code) | [i] | ||
| 26 | Linear OOA(2259, 1198403, F2, 7, 21) (dual of [(1198403, 7), 8388562, 22]-NRT-code) | [i] | ||
| 27 | Linear OOA(2260, 1198406, F2, 7, 21) (dual of [(1198406, 7), 8388582, 22]-NRT-code) | [i] | ||