Information on Result #805978
Linear OOA(2162, 4194301, F2, 2, 15) (dual of [(4194301, 2), 8388440, 16]-NRT-code), using OOA 2-folding based on linear OA(2162, 8388602, F2, 15) (dual of [8388602, 8388440, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(2162, 4194301, F2, 2, 14) (dual of [(4194301, 2), 8388440, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2164, 4194302, F2, 2, 15) (dual of [(4194302, 2), 8388440, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2166, 4194303, F2, 2, 15) (dual of [(4194303, 2), 8388440, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(2168, 4194304, F2, 2, 15) (dual of [(4194304, 2), 8388440, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(2163, 4194301, F2, 2, 15) (dual of [(4194301, 2), 8388439, 16]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2169, 4194305, F2, 2, 15) (dual of [(4194305, 2), 8388441, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(2170, 4194306, F2, 2, 15) (dual of [(4194306, 2), 8388442, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(2171, 4194307, F2, 2, 15) (dual of [(4194307, 2), 8388443, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(2172, 4194309, F2, 2, 15) (dual of [(4194309, 2), 8388446, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(2173, 4194312, F2, 2, 15) (dual of [(4194312, 2), 8388451, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(2174, 4194314, F2, 2, 15) (dual of [(4194314, 2), 8388454, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(2175, 4194317, F2, 2, 15) (dual of [(4194317, 2), 8388459, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(2176, 4194321, F2, 2, 15) (dual of [(4194321, 2), 8388466, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(2177, 4194324, F2, 2, 15) (dual of [(4194324, 2), 8388471, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(2178, 4194329, F2, 2, 15) (dual of [(4194329, 2), 8388480, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(2179, 4194335, F2, 2, 15) (dual of [(4194335, 2), 8388491, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(2180, 4194342, F2, 2, 15) (dual of [(4194342, 2), 8388504, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(2181, 4194348, F2, 2, 15) (dual of [(4194348, 2), 8388515, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(2182, 4194364, F2, 2, 15) (dual of [(4194364, 2), 8388546, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(2183, 4194365, F2, 2, 15) (dual of [(4194365, 2), 8388547, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(2185, 4194428, F2, 2, 15) (dual of [(4194428, 2), 8388671, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(2188, 4194556, F2, 2, 15) (dual of [(4194556, 2), 8388924, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(2191, 4194812, F2, 2, 15) (dual of [(4194812, 2), 8389433, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(2194, 4195324, F2, 2, 15) (dual of [(4195324, 2), 8390454, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(2197, 4196348, F2, 2, 15) (dual of [(4196348, 2), 8392499, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(2200, 4198396, F2, 2, 15) (dual of [(4198396, 2), 8396592, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(2203, 4202492, F2, 2, 15) (dual of [(4202492, 2), 8404781, 16]-NRT-code) | [i] | ||
| 28 | Linear OOA(2206, 4210684, F2, 2, 15) (dual of [(4210684, 2), 8421162, 16]-NRT-code) | [i] | ||
| 29 | Linear OOA(2209, 4227068, F2, 2, 15) (dual of [(4227068, 2), 8453927, 16]-NRT-code) | [i] | ||
| 30 | Linear OOA(2212, 4259836, F2, 2, 15) (dual of [(4259836, 2), 8519460, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(2215, 4325372, F2, 2, 15) (dual of [(4325372, 2), 8650529, 16]-NRT-code) | [i] | ||
| 32 | Linear OOA(2218, 4456444, F2, 2, 15) (dual of [(4456444, 2), 8912670, 16]-NRT-code) | [i] | ||
| 33 | Linear OOA(2221, 4718588, F2, 2, 15) (dual of [(4718588, 2), 9436955, 16]-NRT-code) | [i] | ||
| 34 | Linear OOA(2224, 5242876, F2, 2, 15) (dual of [(5242876, 2), 10485528, 16]-NRT-code) | [i] | ||
| 35 | Linear OOA(2227, 6291452, F2, 2, 15) (dual of [(6291452, 2), 12582677, 16]-NRT-code) | [i] | ||
| 36 | Linear OOA(2230, 8388602, F2, 2, 15) (dual of [(8388602, 2), 16776974, 16]-NRT-code) | [i] | ||
| 37 | OOA(2185, 4194429, S2, 2, 15) | [i] | ||
| 38 | OOA(2186, 4194433, S2, 2, 15) | [i] | ||
| 39 | OOA(2187, 4194434, S2, 2, 15) | [i] | ||
| 40 | OOA(2191, 4194813, S2, 2, 15) | [i] | ||
| 41 | OOA(2192, 4194818, S2, 2, 15) | [i] | ||
| 42 | OOA(2193, 4194819, S2, 2, 15) | [i] | ||
| 43 | OOA(2197, 4196349, S2, 2, 15) | [i] | ||
| 44 | OOA(2198, 4196355, S2, 2, 15) | [i] | ||
| 45 | OOA(2199, 4196356, S2, 2, 15) | [i] | ||
| 46 | OOA(2203, 4202493, S2, 2, 15) | [i] | ||
| 47 | OOA(2204, 4202500, S2, 2, 15) | [i] | ||
| 48 | OOA(2205, 4202501, S2, 2, 15) | [i] | ||
| 49 | OOA(2209, 4227069, S2, 2, 15) | [i] | ||
| 50 | OOA(2210, 4227077, S2, 2, 15) | [i] | ||
| 51 | OOA(2211, 4227078, S2, 2, 15) | [i] | ||
| 52 | OOA(2215, 4325373, S2, 2, 15) | [i] | ||
| 53 | OOA(2216, 4325382, S2, 2, 15) | [i] | ||
| 54 | OOA(2217, 4325383, S2, 2, 15) | [i] | ||
| 55 | OOA(2221, 4718589, S2, 2, 15) | [i] | ||
| 56 | OOA(2222, 4718599, S2, 2, 15) | [i] | ||
| 57 | OOA(2223, 4718600, S2, 2, 15) | [i] | ||
| 58 | OOA(2227, 6291453, S2, 2, 15) | [i] | ||
| 59 | OOA(2228, 6291464, S2, 2, 15) | [i] | ||
| 60 | OOA(2229, 6291465, S2, 2, 15) | [i] | ||