Information on Result #1028652
Linear OOA(2142, 50, F2, 3, 98) (dual of [(50, 3), 8, 99]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(168, 10, F16, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,16)), using
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- Reed–Solomon code RS(8,16) [i]
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), 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(2142, 50, F2, 3, 97) (dual of [(50, 3), 8, 98]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2142, 50, F2, 3, 96) (dual of [(50, 3), 8, 97]-NRT-code) | [i] | ||
| 3 | Linear OOA(2142, 50, F2, 3, 95) (dual of [(50, 3), 8, 96]-NRT-code) | [i] | ||
| 4 | Linear OOA(2142, 50, F2, 3, 94) (dual of [(50, 3), 8, 95]-NRT-code) | [i] | ||
| 5 | Linear OOA(2142, 50, F2, 3, 93) (dual of [(50, 3), 8, 94]-NRT-code) | [i] | ||
| 6 | Linear OOA(2142, 50, F2, 3, 92) (dual of [(50, 3), 8, 93]-NRT-code) | [i] | ||
| 7 | Linear OOA(2142, 50, F2, 3, 91) (dual of [(50, 3), 8, 92]-NRT-code) | [i] | ||
| 8 | Linear OOA(2142, 50, F2, 3, 90) (dual of [(50, 3), 8, 91]-NRT-code) | [i] | ||
| 9 | Linear OOA(2145, 51, F2, 3, 98) (dual of [(51, 3), 8, 99]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 10 | Linear OOA(2143, 50, F2, 3, 98) (dual of [(50, 3), 7, 99]-NRT-code) | [i] | OOA Duplication | |
| 11 | Linear OOA(2140, 49, F2, 3, 96) (dual of [(49, 3), 7, 97]-NRT-code) | [i] | Truncation for OOAs | |
| 12 | Linear OOA(2139, 49, F2, 3, 95) (dual of [(49, 3), 8, 96]-NRT-code) | [i] | ||
| 13 | Linear OOA(2137, 48, F2, 3, 93) (dual of [(48, 3), 7, 94]-NRT-code) | [i] | ||
| 14 | Linear OOA(2136, 48, F2, 3, 92) (dual of [(48, 3), 8, 93]-NRT-code) | [i] | ||
| 15 | Linear OOA(2134, 47, F2, 3, 90) (dual of [(47, 3), 7, 91]-NRT-code) | [i] | ||
| 16 | Linear OOA(2133, 47, F2, 3, 89) (dual of [(47, 3), 8, 90]-NRT-code) | [i] | ||
| 17 | Linear OOA(2132, 46, F2, 3, 88) (dual of [(46, 3), 6, 89]-NRT-code) | [i] | ||
| 18 | Linear OOA(2131, 46, F2, 3, 87) (dual of [(46, 3), 7, 88]-NRT-code) | [i] | ||
| 19 | Linear OOA(2130, 46, F2, 3, 86) (dual of [(46, 3), 8, 87]-NRT-code) | [i] | ||
| 20 | Linear OOA(2128, 45, F2, 3, 84) (dual of [(45, 3), 7, 85]-NRT-code) | [i] | ||
| 21 | Linear OOA(2142, 25, F2, 6, 98) (dual of [(25, 6), 8, 99]-NRT-code) | [i] | OOA Folding | |