Information on Result #1131328
Linear OOA(2184, 1398100, F2, 6, 16) (dual of [(1398100, 6), 8388416, 17]-NRT-code), using OOA 6-folding based on linear OA(2184, 8388600, F2, 16) (dual of [8388600, 8388416, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(2186, 1398100, F2, 6, 16) (dual of [(1398100, 6), 8388414, 17]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2192, 1398103, F2, 6, 16) (dual of [(1398103, 6), 8388426, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(2193, 1398105, F2, 6, 16) (dual of [(1398105, 6), 8388437, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(2194, 1398106, F2, 6, 16) (dual of [(1398106, 6), 8388442, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(2195, 1398107, F2, 6, 16) (dual of [(1398107, 6), 8388447, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(2196, 1398109, F2, 6, 16) (dual of [(1398109, 6), 8388458, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(2197, 1398111, F2, 6, 16) (dual of [(1398111, 6), 8388469, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(2198, 1398115, F2, 6, 16) (dual of [(1398115, 6), 8388492, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(2199, 1398116, F2, 6, 16) (dual of [(1398116, 6), 8388497, 17]-NRT-code) | [i] | ||
| 10 | Linear OOA(2200, 1398119, F2, 6, 16) (dual of [(1398119, 6), 8388514, 17]-NRT-code) | [i] | ||
| 11 | Linear OOA(2201, 1398122, F2, 6, 16) (dual of [(1398122, 6), 8388531, 17]-NRT-code) | [i] | ||
| 12 | Linear OOA(2202, 1398126, F2, 6, 16) (dual of [(1398126, 6), 8388554, 17]-NRT-code) | [i] | ||
| 13 | Linear OOA(2203, 1398130, F2, 6, 16) (dual of [(1398130, 6), 8388577, 17]-NRT-code) | [i] | ||
| 14 | Linear OOA(2204, 1398135, F2, 6, 16) (dual of [(1398135, 6), 8388606, 17]-NRT-code) | [i] | ||
| 15 | Linear OOA(2205, 1398139, F2, 6, 16) (dual of [(1398139, 6), 8388629, 17]-NRT-code) | [i] | ||
| 16 | Linear OOA(2209, 1398144, F2, 6, 16) (dual of [(1398144, 6), 8388655, 17]-NRT-code) | [i] | ||
| 17 | Linear OOA(2210, 1398149, F2, 6, 16) (dual of [(1398149, 6), 8388684, 17]-NRT-code) | [i] | ||
| 18 | Linear OOA(2211, 1398150, F2, 6, 16) (dual of [(1398150, 6), 8388689, 17]-NRT-code) | [i] | ||
| 19 | Linear OOA(2212, 1398153, F2, 6, 16) (dual of [(1398153, 6), 8388706, 17]-NRT-code) | [i] | ||
| 20 | Linear OOA(2213, 1398160, F2, 6, 16) (dual of [(1398160, 6), 8388747, 17]-NRT-code) | [i] | ||
| 21 | Linear OOA(2214, 1398167, F2, 6, 16) (dual of [(1398167, 6), 8388788, 17]-NRT-code) | [i] | ||
| 22 | Linear OOA(2215, 1398171, F2, 6, 16) (dual of [(1398171, 6), 8388811, 17]-NRT-code) | [i] | ||
| 23 | Linear OOA(2216, 1398178, F2, 6, 16) (dual of [(1398178, 6), 8388852, 17]-NRT-code) | [i] | ||
| 24 | Linear OOA(2220, 1398228, F2, 6, 16) (dual of [(1398228, 6), 8389148, 17]-NRT-code) | [i] | ||
| 25 | Linear OOA(2221, 1398230, F2, 6, 16) (dual of [(1398230, 6), 8389159, 17]-NRT-code) | [i] | ||
| 26 | Linear OOA(2222, 1398232, F2, 6, 16) (dual of [(1398232, 6), 8389170, 17]-NRT-code) | [i] | ||
| 27 | Linear OOA(2223, 1398233, F2, 6, 16) (dual of [(1398233, 6), 8389175, 17]-NRT-code) | [i] | ||
| 28 | Linear OOA(2224, 1398356, F2, 6, 16) (dual of [(1398356, 6), 8389912, 17]-NRT-code) | [i] | ||
| 29 | Linear OOA(2225, 1398358, F2, 6, 16) (dual of [(1398358, 6), 8389923, 17]-NRT-code) | [i] | ||
| 30 | Linear OOA(2226, 1398361, F2, 6, 16) (dual of [(1398361, 6), 8389940, 17]-NRT-code) | [i] | ||
| 31 | Linear OOA(2228, 1398612, F2, 6, 16) (dual of [(1398612, 6), 8391444, 17]-NRT-code) | [i] | ||
| 32 | Linear OOA(2229, 1398615, F2, 6, 16) (dual of [(1398615, 6), 8391461, 17]-NRT-code) | [i] | ||
| 33 | Linear OOA(2232, 1399124, F2, 6, 16) (dual of [(1399124, 6), 8394512, 17]-NRT-code) | [i] | ||
| 34 | Linear OOA(2233, 1399127, F2, 6, 16) (dual of [(1399127, 6), 8394529, 17]-NRT-code) | [i] | ||
| 35 | Linear OOA(2236, 1400148, F2, 6, 16) (dual of [(1400148, 6), 8400652, 17]-NRT-code) | [i] | ||
| 36 | Linear OOA(2237, 1400151, F2, 6, 16) (dual of [(1400151, 6), 8400669, 17]-NRT-code) | [i] | ||
| 37 | Linear OOA(2239, 1400152, F2, 6, 16) (dual of [(1400152, 6), 8400673, 17]-NRT-code) | [i] | ||
| 38 | Linear OOA(2240, 1402196, F2, 6, 16) (dual of [(1402196, 6), 8412936, 17]-NRT-code) | [i] | ||
| 39 | Linear OOA(2241, 1402199, F2, 6, 16) (dual of [(1402199, 6), 8412953, 17]-NRT-code) | [i] | ||
| 40 | Linear OOA(2242, 1402200, F2, 6, 16) (dual of [(1402200, 6), 8412958, 17]-NRT-code) | [i] | ||
| 41 | Linear OOA(2244, 1406292, F2, 6, 16) (dual of [(1406292, 6), 8437508, 17]-NRT-code) | [i] | ||
| 42 | Linear OOA(2245, 1406296, F2, 6, 16) (dual of [(1406296, 6), 8437531, 17]-NRT-code) | [i] | ||
| 43 | Linear OOA(2248, 1414484, F2, 6, 16) (dual of [(1414484, 6), 8486656, 17]-NRT-code) | [i] | ||
| 44 | Linear OOA(2249, 1414488, F2, 6, 16) (dual of [(1414488, 6), 8486679, 17]-NRT-code) | [i] | ||
| 45 | Linear OOA(2252, 1430868, F2, 6, 16) (dual of [(1430868, 6), 8584956, 17]-NRT-code) | [i] | ||
| 46 | Linear OOA(2253, 1430872, F2, 6, 16) (dual of [(1430872, 6), 8584979, 17]-NRT-code) | [i] | ||
| 47 | Linear OOA(2255, 1430873, F2, 6, 16) (dual of [(1430873, 6), 8584983, 17]-NRT-code) | [i] | ||
| 48 | Linear OOA(2256, 1463636, F2, 6, 16) (dual of [(1463636, 6), 8781560, 17]-NRT-code) | [i] | ||
| 49 | Linear OOA(2257, 1463640, F2, 6, 16) (dual of [(1463640, 6), 8781583, 17]-NRT-code) | [i] | ||
| 50 | Linear OOA(2258, 1463641, F2, 6, 16) (dual of [(1463641, 6), 8781588, 17]-NRT-code) | [i] | ||
| 51 | Linear OOA(2260, 1529172, F2, 6, 16) (dual of [(1529172, 6), 9174772, 17]-NRT-code) | [i] | ||
| 52 | Linear OOA(2184, 1398100, F2, 7, 16) (dual of [(1398100, 7), 9786516, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 53 | Linear OOA(2184, 1398100, F2, 8, 16) (dual of [(1398100, 8), 11184616, 17]-NRT-code) | [i] | ||
| 54 | Digital (168, 184, 1398100)-net over F2 | [i] | ||