Information on Result #1028501
Linear OOA(2137, 51, F2, 3, 83) (dual of [(51, 3), 16, 84]-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(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [i]
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(2137, 51, F2, 3, 82) (dual of [(51, 3), 16, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2137, 51, F2, 3, 81) (dual of [(51, 3), 16, 82]-NRT-code) | [i] | ||
| 3 | Linear OOA(2137, 51, F2, 3, 80) (dual of [(51, 3), 16, 81]-NRT-code) | [i] | ||
| 4 | Linear OOA(2137, 51, F2, 3, 79) (dual of [(51, 3), 16, 80]-NRT-code) | [i] | ||
| 5 | Linear OOA(2137, 51, F2, 3, 78) (dual of [(51, 3), 16, 79]-NRT-code) | [i] | ||
| 6 | Linear OOA(2140, 52, F2, 3, 83) (dual of [(52, 3), 16, 84]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2143, 53, F2, 3, 83) (dual of [(53, 3), 16, 84]-NRT-code) | [i] | ||
| 8 | Linear OOA(2138, 51, F2, 3, 83) (dual of [(51, 3), 15, 84]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2139, 51, F2, 3, 83) (dual of [(51, 3), 14, 84]-NRT-code) | [i] | ||
| 10 | Linear OOA(2136, 50, F2, 3, 82) (dual of [(50, 3), 14, 83]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(2135, 50, F2, 3, 81) (dual of [(50, 3), 15, 82]-NRT-code) | [i] | ||
| 12 | Linear OOA(2134, 50, F2, 3, 80) (dual of [(50, 3), 16, 81]-NRT-code) | [i] | ||
| 13 | Linear OOA(2133, 49, F2, 3, 79) (dual of [(49, 3), 14, 80]-NRT-code) | [i] | ||
| 14 | Linear OOA(2132, 49, F2, 3, 78) (dual of [(49, 3), 15, 79]-NRT-code) | [i] | ||
| 15 | Linear OOA(2131, 49, F2, 3, 77) (dual of [(49, 3), 16, 78]-NRT-code) | [i] | ||
| 16 | Linear OOA(2130, 48, F2, 3, 76) (dual of [(48, 3), 14, 77]-NRT-code) | [i] | ||
| 17 | Linear OOA(2129, 48, F2, 3, 75) (dual of [(48, 3), 15, 76]-NRT-code) | [i] | ||
| 18 | Linear OOA(2127, 47, F2, 3, 73) (dual of [(47, 3), 14, 74]-NRT-code) | [i] | ||
| 19 | Linear OOA(2126, 47, F2, 3, 72) (dual of [(47, 3), 15, 73]-NRT-code) | [i] | ||
| 20 | Linear OOA(2137, 25, F2, 6, 83) (dual of [(25, 6), 13, 84]-NRT-code) | [i] | OOA Folding | |