Information on Result #806383
Linear OOA(2208, 4194301, F2, 2, 19) (dual of [(4194301, 2), 8388394, 20]-NRT-code), using OOA 2-folding based on linear OA(2208, 8388602, F2, 19) (dual of [8388602, 8388394, 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, 4194301, F2, 2, 18) (dual of [(4194301, 2), 8388394, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2210, 4194302, F2, 2, 19) (dual of [(4194302, 2), 8388394, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2212, 4194303, F2, 2, 19) (dual of [(4194303, 2), 8388394, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(2214, 4194304, F2, 2, 19) (dual of [(4194304, 2), 8388394, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(2216, 4194305, F2, 2, 19) (dual of [(4194305, 2), 8388394, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(2209, 4194301, F2, 2, 19) (dual of [(4194301, 2), 8388393, 20]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2217, 4194306, F2, 2, 19) (dual of [(4194306, 2), 8388395, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(2220, 4194309, F2, 2, 19) (dual of [(4194309, 2), 8388398, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(2222, 4194311, F2, 2, 19) (dual of [(4194311, 2), 8388400, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(2223, 4194313, F2, 2, 19) (dual of [(4194313, 2), 8388403, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(2224, 4194315, F2, 2, 19) (dual of [(4194315, 2), 8388406, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(2225, 4194318, F2, 2, 19) (dual of [(4194318, 2), 8388411, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(2226, 4194321, F2, 2, 19) (dual of [(4194321, 2), 8388416, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(2227, 4194324, F2, 2, 19) (dual of [(4194324, 2), 8388421, 20]-NRT-code) | [i] | ||
| 15 | Linear OOA(2228, 4194327, F2, 2, 19) (dual of [(4194327, 2), 8388426, 20]-NRT-code) | [i] | ||
| 16 | Linear OOA(2229, 4194330, F2, 2, 19) (dual of [(4194330, 2), 8388431, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(2233, 4194335, F2, 2, 19) (dual of [(4194335, 2), 8388437, 20]-NRT-code) | [i] | ||
| 18 | Linear OOA(2234, 4194338, F2, 2, 19) (dual of [(4194338, 2), 8388442, 20]-NRT-code) | [i] | ||
| 19 | Linear OOA(2235, 4194341, F2, 2, 19) (dual of [(4194341, 2), 8388447, 20]-NRT-code) | [i] | ||
| 20 | Linear OOA(2236, 4194347, F2, 2, 19) (dual of [(4194347, 2), 8388458, 20]-NRT-code) | [i] | ||
| 21 | Linear OOA(2237, 4194365, F2, 2, 19) (dual of [(4194365, 2), 8388493, 20]-NRT-code) | [i] | ||
| 22 | Linear OOA(2238, 4194369, F2, 2, 19) (dual of [(4194369, 2), 8388500, 20]-NRT-code) | [i] | ||
| 23 | Linear OOA(2239, 4194372, F2, 2, 19) (dual of [(4194372, 2), 8388505, 20]-NRT-code) | [i] | ||
| 24 | Linear OOA(2240, 4194373, F2, 2, 19) (dual of [(4194373, 2), 8388506, 20]-NRT-code) | [i] | ||
| 25 | Linear OOA(2241, 4194429, F2, 2, 19) (dual of [(4194429, 2), 8388617, 20]-NRT-code) | [i] | ||
| 26 | Linear OOA(2242, 4194434, F2, 2, 19) (dual of [(4194434, 2), 8388626, 20]-NRT-code) | [i] | ||
| 27 | Linear OOA(2243, 4194437, F2, 2, 19) (dual of [(4194437, 2), 8388631, 20]-NRT-code) | [i] | ||
| 28 | Linear OOA(2244, 4194438, F2, 2, 19) (dual of [(4194438, 2), 8388632, 20]-NRT-code) | [i] | ||
| 29 | Linear OOA(2245, 4194557, F2, 2, 19) (dual of [(4194557, 2), 8388869, 20]-NRT-code) | [i] | ||
| 30 | Linear OOA(2246, 4194562, F2, 2, 19) (dual of [(4194562, 2), 8388878, 20]-NRT-code) | [i] | ||
| 31 | Linear OOA(2247, 4194566, F2, 2, 19) (dual of [(4194566, 2), 8388885, 20]-NRT-code) | [i] | ||
| 32 | Linear OOA(2248, 4194567, F2, 2, 19) (dual of [(4194567, 2), 8388886, 20]-NRT-code) | [i] | ||
| 33 | Linear OOA(2249, 4194813, F2, 2, 19) (dual of [(4194813, 2), 8389377, 20]-NRT-code) | [i] | ||
| 34 | Linear OOA(2250, 4194819, F2, 2, 19) (dual of [(4194819, 2), 8389388, 20]-NRT-code) | [i] | ||
| 35 | Linear OOA(2251, 4194823, F2, 2, 19) (dual of [(4194823, 2), 8389395, 20]-NRT-code) | [i] | ||
| 36 | Linear OOA(2252, 4194824, F2, 2, 19) (dual of [(4194824, 2), 8389396, 20]-NRT-code) | [i] | ||
| 37 | Linear OOA(2253, 4195325, F2, 2, 19) (dual of [(4195325, 2), 8390397, 20]-NRT-code) | [i] | ||
| 38 | Linear OOA(2254, 4195331, F2, 2, 19) (dual of [(4195331, 2), 8390408, 20]-NRT-code) | [i] | ||
| 39 | Linear OOA(2255, 4195332, F2, 2, 19) (dual of [(4195332, 2), 8390409, 20]-NRT-code) | [i] | ||
| 40 | Linear OOA(2257, 4196349, F2, 2, 19) (dual of [(4196349, 2), 8392441, 20]-NRT-code) | [i] | ||
| 41 | Linear OOA(2258, 4196356, F2, 2, 19) (dual of [(4196356, 2), 8392454, 20]-NRT-code) | [i] | ||
| 42 | Linear OOA(2218, 4194307, F2, 2, 19) (dual of [(4194307, 2), 8388396, 20]-NRT-code) | [i] | ||
| 43 | Linear OOA(2236, 4194348, F2, 2, 19) (dual of [(4194348, 2), 8388460, 20]-NRT-code) | [i] | ||
| 44 | Linear OOA(2240, 4194387, F2, 2, 19) (dual of [(4194387, 2), 8388534, 20]-NRT-code) | [i] | ||