Information on Result #805752
Linear OOA(2138, 4194301, F2, 2, 12) (dual of [(4194301, 2), 8388464, 13]-NRT-code), using OOA 2-folding based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(2140, 4194302, F2, 2, 12) (dual of [(4194302, 2), 8388464, 13]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2142, 4194303, F2, 2, 12) (dual of [(4194303, 2), 8388464, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2144, 4194304, F2, 2, 12) (dual of [(4194304, 2), 8388464, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(2145, 4194306, F2, 2, 12) (dual of [(4194306, 2), 8388467, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2146, 4194307, F2, 2, 12) (dual of [(4194307, 2), 8388468, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(2147, 4194310, F2, 2, 12) (dual of [(4194310, 2), 8388473, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(2148, 4194312, F2, 2, 12) (dual of [(4194312, 2), 8388476, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(2149, 4194316, F2, 2, 12) (dual of [(4194316, 2), 8388483, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(2150, 4194322, F2, 2, 12) (dual of [(4194322, 2), 8388494, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(2151, 4194324, F2, 2, 12) (dual of [(4194324, 2), 8388497, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(2152, 4194327, F2, 2, 12) (dual of [(4194327, 2), 8388502, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(2153, 4194337, F2, 2, 12) (dual of [(4194337, 2), 8388521, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(2154, 4194343, F2, 2, 12) (dual of [(4194343, 2), 8388532, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(2155, 4194349, F2, 2, 12) (dual of [(4194349, 2), 8388543, 13]-NRT-code) | [i] | ||
| 15 | Linear OOA(2156, 4194365, F2, 2, 12) (dual of [(4194365, 2), 8388574, 13]-NRT-code) | [i] | ||
| 16 | Linear OOA(2157, 4194373, F2, 2, 12) (dual of [(4194373, 2), 8388589, 13]-NRT-code) | [i] | ||
| 17 | Linear OOA(2158, 4194380, F2, 2, 12) (dual of [(4194380, 2), 8388602, 13]-NRT-code) | [i] | ||
| 18 | Linear OOA(2159, 4194428, F2, 2, 12) (dual of [(4194428, 2), 8388697, 13]-NRT-code) | [i] | ||
| 19 | Linear OOA(2162, 4194431, F2, 2, 12) (dual of [(4194431, 2), 8388700, 13]-NRT-code) | [i] | ||
| 20 | Linear OOA(2163, 4194556, F2, 2, 12) (dual of [(4194556, 2), 8388949, 13]-NRT-code) | [i] | ||
| 21 | Linear OOA(2166, 4194812, F2, 2, 12) (dual of [(4194812, 2), 8389458, 13]-NRT-code) | [i] | ||
| 22 | Linear OOA(2169, 4195324, F2, 2, 12) (dual of [(4195324, 2), 8390479, 13]-NRT-code) | [i] | ||
| 23 | Linear OOA(2172, 4196348, F2, 2, 12) (dual of [(4196348, 2), 8392524, 13]-NRT-code) | [i] | ||
| 24 | Linear OOA(2175, 4198396, F2, 2, 12) (dual of [(4198396, 2), 8396617, 13]-NRT-code) | [i] | ||
| 25 | Linear OOA(2178, 4202492, F2, 2, 12) (dual of [(4202492, 2), 8404806, 13]-NRT-code) | [i] | ||
| 26 | Linear OOA(2181, 4210684, F2, 2, 12) (dual of [(4210684, 2), 8421187, 13]-NRT-code) | [i] | ||
| 27 | Linear OOA(2184, 4227068, F2, 2, 12) (dual of [(4227068, 2), 8453952, 13]-NRT-code) | [i] | ||
| 28 | Linear OOA(2187, 4259836, F2, 2, 12) (dual of [(4259836, 2), 8519485, 13]-NRT-code) | [i] | ||
| 29 | Linear OOA(2190, 4325372, F2, 2, 12) (dual of [(4325372, 2), 8650554, 13]-NRT-code) | [i] | ||
| 30 | Linear OOA(2193, 4456444, F2, 2, 12) (dual of [(4456444, 2), 8912695, 13]-NRT-code) | [i] | ||
| 31 | Linear OOA(2196, 4718588, F2, 2, 12) (dual of [(4718588, 2), 9436980, 13]-NRT-code) | [i] | ||
| 32 | Linear OOA(2199, 5242876, F2, 2, 12) (dual of [(5242876, 2), 10485553, 13]-NRT-code) | [i] | ||
| 33 | Linear OOA(2202, 6291452, F2, 2, 12) (dual of [(6291452, 2), 12582702, 13]-NRT-code) | [i] | ||
| 34 | Linear OOA(2205, 8388602, F2, 2, 12) (dual of [(8388602, 2), 16776999, 13]-NRT-code) | [i] | ||
| 35 | OOA(2161, 4194433, S2, 2, 12) | [i] | ||
| 36 | OOA(2167, 4194818, S2, 2, 12) | [i] | ||
| 37 | OOA(2173, 4196355, S2, 2, 12) | [i] | ||
| 38 | OOA(2179, 4202500, S2, 2, 12) | [i] | ||
| 39 | OOA(2185, 4227077, S2, 2, 12) | [i] | ||
| 40 | OOA(2191, 4325382, S2, 2, 12) | [i] | ||
| 41 | OOA(2197, 4718599, S2, 2, 12) | [i] | ||
| 42 | OOA(2203, 6291464, S2, 2, 12) | [i] | ||