Information on Result #805819
Linear OOA(2139, 4194301, F2, 2, 13) (dual of [(4194301, 2), 8388463, 14]-NRT-code), using OOA 2-folding based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(2139, 4194301, F2, 2, 12) (dual of [(4194301, 2), 8388463, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2141, 4194302, F2, 2, 13) (dual of [(4194302, 2), 8388463, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2143, 4194303, F2, 2, 13) (dual of [(4194303, 2), 8388463, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2145, 4194304, F2, 2, 13) (dual of [(4194304, 2), 8388463, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(2140, 4194301, F2, 2, 13) (dual of [(4194301, 2), 8388462, 14]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2146, 4194306, F2, 2, 13) (dual of [(4194306, 2), 8388466, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(2147, 4194307, F2, 2, 13) (dual of [(4194307, 2), 8388467, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(2148, 4194310, F2, 2, 13) (dual of [(4194310, 2), 8388472, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(2149, 4194312, F2, 2, 13) (dual of [(4194312, 2), 8388475, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(2150, 4194316, F2, 2, 13) (dual of [(4194316, 2), 8388482, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(2151, 4194322, F2, 2, 13) (dual of [(4194322, 2), 8388493, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(2152, 4194324, F2, 2, 13) (dual of [(4194324, 2), 8388496, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(2153, 4194327, F2, 2, 13) (dual of [(4194327, 2), 8388501, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(2154, 4194337, F2, 2, 13) (dual of [(4194337, 2), 8388520, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(2155, 4194343, F2, 2, 13) (dual of [(4194343, 2), 8388531, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(2156, 4194349, F2, 2, 13) (dual of [(4194349, 2), 8388542, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(2157, 4194365, F2, 2, 13) (dual of [(4194365, 2), 8388573, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(2158, 4194373, F2, 2, 13) (dual of [(4194373, 2), 8388588, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(2159, 4194380, F2, 2, 13) (dual of [(4194380, 2), 8388601, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(2160, 4194428, F2, 2, 13) (dual of [(4194428, 2), 8388696, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(2163, 4194431, F2, 2, 13) (dual of [(4194431, 2), 8388699, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(2164, 4194556, F2, 2, 13) (dual of [(4194556, 2), 8388948, 14]-NRT-code) | [i] | ||
| 23 | Linear OOA(2167, 4194812, F2, 2, 13) (dual of [(4194812, 2), 8389457, 14]-NRT-code) | [i] | ||
| 24 | Linear OOA(2170, 4195324, F2, 2, 13) (dual of [(4195324, 2), 8390478, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(2173, 4196348, F2, 2, 13) (dual of [(4196348, 2), 8392523, 14]-NRT-code) | [i] | ||
| 26 | Linear OOA(2176, 4198396, F2, 2, 13) (dual of [(4198396, 2), 8396616, 14]-NRT-code) | [i] | ||
| 27 | Linear OOA(2179, 4202492, F2, 2, 13) (dual of [(4202492, 2), 8404805, 14]-NRT-code) | [i] | ||
| 28 | Linear OOA(2182, 4210684, F2, 2, 13) (dual of [(4210684, 2), 8421186, 14]-NRT-code) | [i] | ||
| 29 | Linear OOA(2185, 4227068, F2, 2, 13) (dual of [(4227068, 2), 8453951, 14]-NRT-code) | [i] | ||
| 30 | Linear OOA(2188, 4259836, F2, 2, 13) (dual of [(4259836, 2), 8519484, 14]-NRT-code) | [i] | ||
| 31 | Linear OOA(2191, 4325372, F2, 2, 13) (dual of [(4325372, 2), 8650553, 14]-NRT-code) | [i] | ||
| 32 | Linear OOA(2194, 4456444, F2, 2, 13) (dual of [(4456444, 2), 8912694, 14]-NRT-code) | [i] | ||
| 33 | Linear OOA(2197, 4718588, F2, 2, 13) (dual of [(4718588, 2), 9436979, 14]-NRT-code) | [i] | ||
| 34 | Linear OOA(2200, 5242876, F2, 2, 13) (dual of [(5242876, 2), 10485552, 14]-NRT-code) | [i] | ||
| 35 | Linear OOA(2203, 6291452, F2, 2, 13) (dual of [(6291452, 2), 12582701, 14]-NRT-code) | [i] | ||
| 36 | Linear OOA(2206, 8388602, F2, 2, 13) (dual of [(8388602, 2), 16776998, 14]-NRT-code) | [i] | ||
| 37 | OOA(2162, 4194433, S2, 2, 13) | [i] | ||
| 38 | OOA(2168, 4194818, S2, 2, 13) | [i] | ||
| 39 | OOA(2174, 4196355, S2, 2, 13) | [i] | ||
| 40 | OOA(2180, 4202500, S2, 2, 13) | [i] | ||
| 41 | OOA(2186, 4227077, S2, 2, 13) | [i] | ||
| 42 | OOA(2192, 4325382, S2, 2, 13) | [i] | ||
| 43 | OOA(2198, 4718599, S2, 2, 13) | [i] | ||
| 44 | OOA(2204, 6291464, S2, 2, 13) | [i] | ||