Information on Result #1028649
Linear OOA(2127, 45, F2, 3, 87) (dual of [(45, 3), 8, 88]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(167, 9, F16, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- 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(2127, 45, F2, 3, 86) (dual of [(45, 3), 8, 87]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2127, 45, F2, 3, 85) (dual of [(45, 3), 8, 86]-NRT-code) | [i] | ||
| 3 | Linear OOA(2127, 45, F2, 3, 84) (dual of [(45, 3), 8, 85]-NRT-code) | [i] | ||
| 4 | Linear OOA(2127, 45, F2, 3, 83) (dual of [(45, 3), 8, 84]-NRT-code) | [i] | ||
| 5 | Linear OOA(2127, 45, F2, 3, 82) (dual of [(45, 3), 8, 83]-NRT-code) | [i] | ||
| 6 | Linear OOA(2127, 45, F2, 3, 81) (dual of [(45, 3), 8, 82]-NRT-code) | [i] | ||
| 7 | Linear OOA(2127, 45, F2, 3, 80) (dual of [(45, 3), 8, 81]-NRT-code) | [i] | ||
| 8 | Linear OOA(2130, 46, F2, 3, 87) (dual of [(46, 3), 8, 88]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 9 | Linear OOA(2128, 45, F2, 3, 87) (dual of [(45, 3), 7, 88]-NRT-code) | [i] | OOA Duplication | |
| 10 | Linear OOA(2126, 44, F2, 3, 86) (dual of [(44, 3), 6, 87]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(2125, 44, F2, 3, 85) (dual of [(44, 3), 7, 86]-NRT-code) | [i] | ||
| 12 | Linear OOA(2124, 44, F2, 3, 84) (dual of [(44, 3), 8, 85]-NRT-code) | [i] | ||
| 13 | Linear OOA(2123, 43, F2, 3, 83) (dual of [(43, 3), 6, 84]-NRT-code) | [i] | ||
| 14 | Linear OOA(2122, 43, F2, 3, 82) (dual of [(43, 3), 7, 83]-NRT-code) | [i] | ||
| 15 | Linear OOA(2121, 43, F2, 3, 81) (dual of [(43, 3), 8, 82]-NRT-code) | [i] | ||
| 16 | Linear OOA(2119, 42, F2, 3, 79) (dual of [(42, 3), 7, 80]-NRT-code) | [i] | ||
| 17 | Linear OOA(2118, 42, F2, 3, 78) (dual of [(42, 3), 8, 79]-NRT-code) | [i] | ||
| 18 | Linear OOA(2117, 41, F2, 3, 77) (dual of [(41, 3), 6, 78]-NRT-code) | [i] | ||
| 19 | Linear OOA(2116, 41, F2, 3, 76) (dual of [(41, 3), 7, 77]-NRT-code) | [i] | ||
| 20 | Linear OOA(2115, 41, F2, 3, 75) (dual of [(41, 3), 8, 76]-NRT-code) | [i] | ||
| 21 | Linear OOA(2113, 40, F2, 3, 73) (dual of [(40, 3), 7, 74]-NRT-code) | [i] | ||