Information on Result #1028673
Linear OOA(2239, 85, F2, 3, 153) (dual of [(85, 3), 16, 154]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), using
- extended Reed–Solomon code RSe(4,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OOA(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(2239, 85, F2, 3, 152) (dual of [(85, 3), 16, 153]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2239, 85, F2, 3, 151) (dual of [(85, 3), 16, 152]-NRT-code) | [i] | ||
| 3 | Linear OOA(2239, 85, F2, 3, 150) (dual of [(85, 3), 16, 151]-NRT-code) | [i] | ||
| 4 | Linear OOA(2239, 85, F2, 3, 149) (dual of [(85, 3), 16, 150]-NRT-code) | [i] | ||
| 5 | Linear OOA(2239, 85, F2, 3, 148) (dual of [(85, 3), 16, 149]-NRT-code) | [i] | ||
| 6 | Linear OOA(2239, 85, F2, 3, 147) (dual of [(85, 3), 16, 148]-NRT-code) | [i] | ||
| 7 | Linear OOA(2239, 85, F2, 3, 146) (dual of [(85, 3), 16, 147]-NRT-code) | [i] | ||
| 8 | Linear OOA(2239, 85, F2, 3, 145) (dual of [(85, 3), 16, 146]-NRT-code) | [i] | ||
| 9 | Linear OOA(2239, 85, F2, 3, 144) (dual of [(85, 3), 16, 145]-NRT-code) | [i] | ||
| 10 | Linear OOA(2239, 85, F2, 3, 143) (dual of [(85, 3), 16, 144]-NRT-code) | [i] | ||
| 11 | Linear OOA(2242, 86, F2, 3, 153) (dual of [(86, 3), 16, 154]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 12 | Linear OOA(2245, 87, F2, 3, 153) (dual of [(87, 3), 16, 154]-NRT-code) | [i] | ||
| 13 | Linear OOA(2248, 88, F2, 3, 153) (dual of [(88, 3), 16, 154]-NRT-code) | [i] | ||
| 14 | Linear OOA(2251, 89, F2, 3, 153) (dual of [(89, 3), 16, 154]-NRT-code) | [i] | ||
| 15 | Linear OOA(2257, 91, F2, 3, 153) (dual of [(91, 3), 16, 154]-NRT-code) | [i] | ||
| 16 | Linear OOA(2260, 92, F2, 3, 153) (dual of [(92, 3), 16, 154]-NRT-code) | [i] | ||
| 17 | Linear OOA(2240, 85, F2, 3, 153) (dual of [(85, 3), 15, 154]-NRT-code) | [i] | OOA Duplication | |
| 18 | Linear OOA(2241, 85, F2, 3, 153) (dual of [(85, 3), 14, 154]-NRT-code) | [i] | ||
| 19 | Linear OOA(2238, 84, F2, 3, 152) (dual of [(84, 3), 14, 153]-NRT-code) | [i] | Truncation for OOAs | |
| 20 | Linear OOA(2237, 84, F2, 3, 151) (dual of [(84, 3), 15, 152]-NRT-code) | [i] | ||
| 21 | Linear OOA(2236, 84, F2, 3, 150) (dual of [(84, 3), 16, 151]-NRT-code) | [i] | ||
| 22 | Linear OOA(2235, 83, F2, 3, 149) (dual of [(83, 3), 14, 150]-NRT-code) | [i] | ||
| 23 | Linear OOA(2234, 83, F2, 3, 148) (dual of [(83, 3), 15, 149]-NRT-code) | [i] | ||
| 24 | Linear OOA(2233, 83, F2, 3, 147) (dual of [(83, 3), 16, 148]-NRT-code) | [i] | ||
| 25 | Linear OOA(2232, 82, F2, 3, 146) (dual of [(82, 3), 14, 147]-NRT-code) | [i] | ||
| 26 | Linear OOA(2231, 82, F2, 3, 145) (dual of [(82, 3), 15, 146]-NRT-code) | [i] | ||
| 27 | Linear OOA(2230, 82, F2, 3, 144) (dual of [(82, 3), 16, 145]-NRT-code) | [i] | ||
| 28 | Linear OOA(2229, 81, F2, 3, 143) (dual of [(81, 3), 14, 144]-NRT-code) | [i] | ||
| 29 | Linear OOA(2228, 81, F2, 3, 142) (dual of [(81, 3), 15, 143]-NRT-code) | [i] | ||
| 30 | Linear OOA(2227, 81, F2, 3, 141) (dual of [(81, 3), 16, 142]-NRT-code) | [i] | ||
| 31 | Linear OOA(2226, 80, F2, 3, 140) (dual of [(80, 3), 14, 141]-NRT-code) | [i] | ||
| 32 | Linear OOA(2225, 80, F2, 3, 139) (dual of [(80, 3), 15, 140]-NRT-code) | [i] | ||
| 33 | Linear OOA(2223, 79, F2, 3, 137) (dual of [(79, 3), 14, 138]-NRT-code) | [i] | ||
| 34 | Linear OOA(2222, 79, F2, 3, 136) (dual of [(79, 3), 15, 137]-NRT-code) | [i] | ||
| 35 | Linear OOA(2221, 79, F2, 3, 135) (dual of [(79, 3), 16, 136]-NRT-code) | [i] | ||
| 36 | Linear OOA(2220, 78, F2, 3, 134) (dual of [(78, 3), 14, 135]-NRT-code) | [i] | ||
| 37 | Linear OOA(2219, 78, F2, 3, 133) (dual of [(78, 3), 15, 134]-NRT-code) | [i] | ||
| 38 | Linear OOA(2218, 78, F2, 3, 132) (dual of [(78, 3), 16, 133]-NRT-code) | [i] | ||
| 39 | Linear OOA(2217, 77, F2, 3, 131) (dual of [(77, 3), 14, 132]-NRT-code) | [i] | ||
| 40 | Linear OOA(2216, 77, F2, 3, 130) (dual of [(77, 3), 15, 131]-NRT-code) | [i] | ||
| 41 | Linear OOA(2215, 77, F2, 3, 129) (dual of [(77, 3), 16, 130]-NRT-code) | [i] | ||
| 42 | Linear OOA(2214, 76, F2, 3, 128) (dual of [(76, 3), 14, 129]-NRT-code) | [i] | ||
| 43 | Linear OOA(2213, 76, F2, 3, 127) (dual of [(76, 3), 15, 128]-NRT-code) | [i] | ||
| 44 | Linear OOA(2212, 76, F2, 3, 126) (dual of [(76, 3), 16, 127]-NRT-code) | [i] | ||
| 45 | Linear OOA(2211, 75, F2, 3, 125) (dual of [(75, 3), 14, 126]-NRT-code) | [i] | ||
| 46 | Linear OOA(2208, 74, F2, 3, 122) (dual of [(74, 3), 14, 123]-NRT-code) | [i] | ||
| 47 | Linear OOA(2207, 74, F2, 3, 121) (dual of [(74, 3), 15, 122]-NRT-code) | [i] | ||
| 48 | Linear OOA(2239, 42, F2, 6, 153) (dual of [(42, 6), 13, 154]-NRT-code) | [i] | OOA Folding | |