Information on Result #1095297
Linear OOA(2139, 1677720, F2, 5, 13) (dual of [(1677720, 5), 8388461, 14]-NRT-code), using OOA 5-folding based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 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, 1677720, F2, 5, 12) (dual of [(1677720, 5), 8388461, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2144, 1677721, F2, 5, 13) (dual of [(1677721, 5), 8388461, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2140, 1677720, F2, 5, 13) (dual of [(1677720, 5), 8388460, 14]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2141, 1677720, F2, 5, 13) (dual of [(1677720, 5), 8388459, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(2142, 1677720, F2, 5, 13) (dual of [(1677720, 5), 8388458, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(2143, 1677720, F2, 5, 13) (dual of [(1677720, 5), 8388457, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(2145, 1677723, F2, 5, 13) (dual of [(1677723, 5), 8388470, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(2146, 1677725, F2, 5, 13) (dual of [(1677725, 5), 8388479, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(2147, 1677726, F2, 5, 13) (dual of [(1677726, 5), 8388483, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(2148, 1677729, F2, 5, 13) (dual of [(1677729, 5), 8388497, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(2149, 1677731, F2, 5, 13) (dual of [(1677731, 5), 8388506, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(2150, 1677735, F2, 5, 13) (dual of [(1677735, 5), 8388525, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(2151, 1677741, F2, 5, 13) (dual of [(1677741, 5), 8388554, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(2152, 1677743, F2, 5, 13) (dual of [(1677743, 5), 8388563, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(2153, 1677746, F2, 5, 13) (dual of [(1677746, 5), 8388577, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(2154, 1677756, F2, 5, 13) (dual of [(1677756, 5), 8388626, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(2155, 1677762, F2, 5, 13) (dual of [(1677762, 5), 8388655, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(2156, 1677768, F2, 5, 13) (dual of [(1677768, 5), 8388684, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(2157, 1677784, F2, 5, 13) (dual of [(1677784, 5), 8388763, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(2158, 1677792, F2, 5, 13) (dual of [(1677792, 5), 8388802, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(2159, 1677799, F2, 5, 13) (dual of [(1677799, 5), 8388836, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(2160, 1677847, F2, 5, 13) (dual of [(1677847, 5), 8389075, 14]-NRT-code) | [i] | ||
| 23 | Linear OOA(2163, 1677850, F2, 5, 13) (dual of [(1677850, 5), 8389087, 14]-NRT-code) | [i] | ||
| 24 | Linear OOA(2164, 1677973, F2, 5, 13) (dual of [(1677973, 5), 8389701, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(2165, 1677974, F2, 5, 13) (dual of [(1677974, 5), 8389705, 14]-NRT-code) | [i] | ||
| 26 | Linear OOA(2167, 1678229, F2, 5, 13) (dual of [(1678229, 5), 8390978, 14]-NRT-code) | [i] | ||
| 27 | Linear OOA(2168, 1678230, F2, 5, 13) (dual of [(1678230, 5), 8390982, 14]-NRT-code) | [i] | ||
| 28 | Linear OOA(2170, 1678741, F2, 5, 13) (dual of [(1678741, 5), 8393535, 14]-NRT-code) | [i] | ||
| 29 | Linear OOA(2171, 1678742, F2, 5, 13) (dual of [(1678742, 5), 8393539, 14]-NRT-code) | [i] | ||
| 30 | Linear OOA(2173, 1679767, F2, 5, 13) (dual of [(1679767, 5), 8398662, 14]-NRT-code) | [i] | ||
| 31 | Linear OOA(2176, 1681813, F2, 5, 13) (dual of [(1681813, 5), 8408889, 14]-NRT-code) | [i] | ||
| 32 | Linear OOA(2177, 1681814, F2, 5, 13) (dual of [(1681814, 5), 8408893, 14]-NRT-code) | [i] | ||
| 33 | Linear OOA(2179, 1685911, F2, 5, 13) (dual of [(1685911, 5), 8429376, 14]-NRT-code) | [i] | ||
| 34 | Linear OOA(2182, 1694101, F2, 5, 13) (dual of [(1694101, 5), 8470323, 14]-NRT-code) | [i] | ||
| 35 | Linear OOA(2183, 1694102, F2, 5, 13) (dual of [(1694102, 5), 8470327, 14]-NRT-code) | [i] | ||
| 36 | Linear OOA(2185, 1710485, F2, 5, 13) (dual of [(1710485, 5), 8552240, 14]-NRT-code) | [i] | ||
| 37 | Linear OOA(2186, 1710486, F2, 5, 13) (dual of [(1710486, 5), 8552244, 14]-NRT-code) | [i] | ||
| 38 | Linear OOA(2188, 1743253, F2, 5, 13) (dual of [(1743253, 5), 8716077, 14]-NRT-code) | [i] | ||
| 39 | Linear OOA(2189, 1743254, F2, 5, 13) (dual of [(1743254, 5), 8716081, 14]-NRT-code) | [i] | ||
| 40 | Linear OOA(2191, 1808791, F2, 5, 13) (dual of [(1808791, 5), 9043764, 14]-NRT-code) | [i] | ||
| 41 | Linear OOA(2194, 1939861, F2, 5, 13) (dual of [(1939861, 5), 9699111, 14]-NRT-code) | [i] | ||
| 42 | Linear OOA(2195, 1939862, F2, 5, 13) (dual of [(1939862, 5), 9699115, 14]-NRT-code) | [i] | ||
| 43 | Linear OOA(2197, 2202007, F2, 5, 13) (dual of [(2202007, 5), 11009838, 14]-NRT-code) | [i] | ||
| 44 | Linear OOA(2200, 2726293, F2, 5, 13) (dual of [(2726293, 5), 13631265, 14]-NRT-code) | [i] | ||
| 45 | Linear OOA(2201, 2726294, F2, 5, 13) (dual of [(2726294, 5), 13631269, 14]-NRT-code) | [i] | ||
| 46 | Linear OOA(2203, 3355440, F2, 5, 13) (dual of [(3355440, 5), 16776997, 14]-NRT-code) | [i] | ||
| 47 | Linear OOA(2164, 1677974, F2, 5, 13) (dual of [(1677974, 5), 8389706, 14]-NRT-code) | [i] | ||
| 48 | Linear OOA(2167, 1678230, F2, 5, 13) (dual of [(1678230, 5), 8390983, 14]-NRT-code) | [i] | ||
| 49 | Linear OOA(2170, 1678742, F2, 5, 13) (dual of [(1678742, 5), 8393540, 14]-NRT-code) | [i] | ||
| 50 | Linear OOA(2176, 1681814, F2, 5, 13) (dual of [(1681814, 5), 8408894, 14]-NRT-code) | [i] | ||
| 51 | Linear OOA(2182, 1694102, F2, 5, 13) (dual of [(1694102, 5), 8470328, 14]-NRT-code) | [i] | ||
| 52 | Linear OOA(2185, 1710486, F2, 5, 13) (dual of [(1710486, 5), 8552245, 14]-NRT-code) | [i] | ||
| 53 | Linear OOA(2188, 1743254, F2, 5, 13) (dual of [(1743254, 5), 8716082, 14]-NRT-code) | [i] | ||
| 54 | Linear OOA(2194, 1939862, F2, 5, 13) (dual of [(1939862, 5), 9699116, 14]-NRT-code) | [i] | ||
| 55 | Linear OOA(2200, 2726294, F2, 5, 13) (dual of [(2726294, 5), 13631270, 14]-NRT-code) | [i] | ||
| 56 | Linear OOA(2139, 1677720, F2, 6, 13) (dual of [(1677720, 6), 10066181, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 57 | Linear OOA(2139, 1677720, F2, 7, 13) (dual of [(1677720, 7), 11743901, 14]-NRT-code) | [i] | ||
| 58 | Linear OOA(2139, 1677720, F2, 8, 13) (dual of [(1677720, 8), 13421621, 14]-NRT-code) | [i] | ||
| 59 | Digital (126, 139, 1677720)-net over F2 | [i] | ||