Information on Result #2421040
Linear OOA(2154, 85, F2, 2, 82) (dual of [(85, 2), 16, 83]-NRT-code), using strength reduction based on linear OOA(2154, 85, F2, 2, 83) (dual of [(85, 2), 16, 84]-NRT-code), using
- concatenation of two NRT-codes [i] 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(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), 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(2156, 86, F2, 2, 82) (dual of [(86, 2), 16, 83]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2158, 87, F2, 2, 82) (dual of [(87, 2), 16, 83]-NRT-code) | [i] | ||
| 3 | Linear OOA(2160, 88, F2, 2, 82) (dual of [(88, 2), 16, 83]-NRT-code) | [i] | ||
| 4 | Linear OOA(2162, 89, F2, 2, 82) (dual of [(89, 2), 16, 83]-NRT-code) | [i] | ||
| 5 | Linear OOA(2164, 90, F2, 2, 82) (dual of [(90, 2), 16, 83]-NRT-code) | [i] | ||
| 6 | Linear OOA(2166, 91, F2, 2, 82) (dual of [(91, 2), 16, 83]-NRT-code) | [i] | ||
| 7 | Linear OOA(2155, 85, F2, 2, 82) (dual of [(85, 2), 15, 83]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2153, 84, F2, 2, 81) (dual of [(84, 2), 15, 82]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2152, 84, F2, 2, 80) (dual of [(84, 2), 16, 81]-NRT-code) | [i] | ||
| 10 | Linear OOA(2151, 83, F2, 2, 79) (dual of [(83, 2), 15, 80]-NRT-code) | [i] | ||
| 11 | Linear OOA(2150, 83, F2, 2, 78) (dual of [(83, 2), 16, 79]-NRT-code) | [i] | ||
| 12 | Linear OOA(2149, 82, F2, 2, 77) (dual of [(82, 2), 15, 78]-NRT-code) | [i] | ||
| 13 | Linear OOA(2148, 82, F2, 2, 76) (dual of [(82, 2), 16, 77]-NRT-code) | [i] | ||
| 14 | Linear OOA(2146, 81, F2, 2, 74) (dual of [(81, 2), 16, 75]-NRT-code) | [i] | ||
| 15 | Linear OOA(2145, 80, F2, 2, 73) (dual of [(80, 2), 15, 74]-NRT-code) | [i] | ||