Information on Result #1151394
Linear OOA(2208, 1198371, F2, 7, 19) (dual of [(1198371, 7), 8388389, 20]-NRT-code), using OOA 7-folding based on linear OA(2208, 8388597, F2, 19) (dual of [8388597, 8388389, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [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(2208, 1198371, F2, 7, 18) (dual of [(1198371, 7), 8388389, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2215, 1198372, F2, 7, 19) (dual of [(1198372, 7), 8388389, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2209, 1198371, F2, 7, 19) (dual of [(1198371, 7), 8388388, 20]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2210, 1198371, F2, 7, 19) (dual of [(1198371, 7), 8388387, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(2211, 1198371, F2, 7, 19) (dual of [(1198371, 7), 8388386, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(2212, 1198371, F2, 7, 19) (dual of [(1198371, 7), 8388385, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(2213, 1198371, F2, 7, 19) (dual of [(1198371, 7), 8388384, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(2214, 1198371, F2, 7, 19) (dual of [(1198371, 7), 8388383, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(2217, 1198374, F2, 7, 19) (dual of [(1198374, 7), 8388401, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(2218, 1198376, F2, 7, 19) (dual of [(1198376, 7), 8388414, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(2219, 1198377, F2, 7, 19) (dual of [(1198377, 7), 8388420, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(2220, 1198378, F2, 7, 19) (dual of [(1198378, 7), 8388426, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(2221, 1198379, F2, 7, 19) (dual of [(1198379, 7), 8388432, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(2222, 1198381, F2, 7, 19) (dual of [(1198381, 7), 8388445, 20]-NRT-code) | [i] | ||
| 15 | Linear OOA(2223, 1198383, F2, 7, 19) (dual of [(1198383, 7), 8388458, 20]-NRT-code) | [i] | ||
| 16 | Linear OOA(2224, 1198385, F2, 7, 19) (dual of [(1198385, 7), 8388471, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(2225, 1198388, F2, 7, 19) (dual of [(1198388, 7), 8388491, 20]-NRT-code) | [i] | ||
| 18 | Linear OOA(2226, 1198391, F2, 7, 19) (dual of [(1198391, 7), 8388511, 20]-NRT-code) | [i] | ||
| 19 | Linear OOA(2227, 1198394, F2, 7, 19) (dual of [(1198394, 7), 8388531, 20]-NRT-code) | [i] | ||
| 20 | Linear OOA(2228, 1198397, F2, 7, 19) (dual of [(1198397, 7), 8388551, 20]-NRT-code) | [i] | ||
| 21 | Linear OOA(2229, 1198400, F2, 7, 19) (dual of [(1198400, 7), 8388571, 20]-NRT-code) | [i] | ||
| 22 | Linear OOA(2233, 1198405, F2, 7, 19) (dual of [(1198405, 7), 8388602, 20]-NRT-code) | [i] | ||
| 23 | Linear OOA(2234, 1198408, F2, 7, 19) (dual of [(1198408, 7), 8388622, 20]-NRT-code) | [i] | ||
| 24 | Linear OOA(2235, 1198411, F2, 7, 19) (dual of [(1198411, 7), 8388642, 20]-NRT-code) | [i] | ||
| 25 | Linear OOA(2236, 1198417, F2, 7, 19) (dual of [(1198417, 7), 8388683, 20]-NRT-code) | [i] | ||
| 26 | Linear OOA(2237, 1198420, F2, 7, 19) (dual of [(1198420, 7), 8388703, 20]-NRT-code) | [i] | ||
| 27 | Linear OOA(2238, 1198423, F2, 7, 19) (dual of [(1198423, 7), 8388723, 20]-NRT-code) | [i] | ||
| 28 | Linear OOA(2239, 1198429, F2, 7, 19) (dual of [(1198429, 7), 8388764, 20]-NRT-code) | [i] | ||
| 29 | Linear OOA(2241, 1198435, F2, 7, 19) (dual of [(1198435, 7), 8388804, 20]-NRT-code) | [i] | ||
| 30 | Linear OOA(2242, 1198437, F2, 7, 19) (dual of [(1198437, 7), 8388817, 20]-NRT-code) | [i] | ||
| 31 | Linear OOA(2243, 1198439, F2, 7, 19) (dual of [(1198439, 7), 8388830, 20]-NRT-code) | [i] | ||
| 32 | Linear OOA(2244, 1198443, F2, 7, 19) (dual of [(1198443, 7), 8388857, 20]-NRT-code) | [i] | ||
| 33 | Linear OOA(2245, 1198499, F2, 7, 19) (dual of [(1198499, 7), 8389248, 20]-NRT-code) | [i] | ||
| 34 | Linear OOA(2246, 1198501, F2, 7, 19) (dual of [(1198501, 7), 8389261, 20]-NRT-code) | [i] | ||
| 35 | Linear OOA(2247, 1198503, F2, 7, 19) (dual of [(1198503, 7), 8389274, 20]-NRT-code) | [i] | ||
| 36 | Linear OOA(2248, 1198504, F2, 7, 19) (dual of [(1198504, 7), 8389280, 20]-NRT-code) | [i] | ||
| 37 | Linear OOA(2249, 1198627, F2, 7, 19) (dual of [(1198627, 7), 8390140, 20]-NRT-code) | [i] | ||
| 38 | Linear OOA(2250, 1198629, F2, 7, 19) (dual of [(1198629, 7), 8390153, 20]-NRT-code) | [i] | ||
| 39 | Linear OOA(2251, 1198632, F2, 7, 19) (dual of [(1198632, 7), 8390173, 20]-NRT-code) | [i] | ||
| 40 | Linear OOA(2253, 1198883, F2, 7, 19) (dual of [(1198883, 7), 8391928, 20]-NRT-code) | [i] | ||
| 41 | Linear OOA(2254, 1198886, F2, 7, 19) (dual of [(1198886, 7), 8391948, 20]-NRT-code) | [i] | ||
| 42 | Linear OOA(2257, 1199395, F2, 7, 19) (dual of [(1199395, 7), 8395508, 20]-NRT-code) | [i] | ||
| 43 | Linear OOA(2258, 1199398, F2, 7, 19) (dual of [(1199398, 7), 8395528, 20]-NRT-code) | [i] | ||
| 44 | Linear OOA(2208, 1198371, F2, 8, 19) (dual of [(1198371, 8), 9586760, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 45 | Digital (189, 208, 1198371)-net over F2 | [i] | ||