Information on Result #1028919
Linear OOA(2150, 55, F2, 3, 89) (dual of [(55, 3), 15, 90]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(328, 11, F32, 8) (dual of [11, 3, 9]-code or 11-arc in PG(7,32)), using
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
- Reed–Solomon code RS(24,32) [i]
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [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(2150, 55, F2, 3, 88) (dual of [(55, 3), 15, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2150, 55, F2, 3, 87) (dual of [(55, 3), 15, 88]-NRT-code) | [i] | ||
| 3 | Linear OOA(2150, 55, F2, 3, 86) (dual of [(55, 3), 15, 87]-NRT-code) | [i] | ||
| 4 | Linear OOA(2150, 55, F2, 3, 85) (dual of [(55, 3), 15, 86]-NRT-code) | [i] | ||
| 5 | Linear OOA(2150, 55, F2, 3, 84) (dual of [(55, 3), 15, 85]-NRT-code) | [i] | ||
| 6 | Linear OOA(2150, 55, F2, 3, 83) (dual of [(55, 3), 15, 84]-NRT-code) | [i] | ||
| 7 | Linear OOA(2153, 56, F2, 3, 89) (dual of [(56, 3), 15, 90]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(2151, 55, F2, 3, 89) (dual of [(55, 3), 14, 90]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2152, 55, F2, 3, 89) (dual of [(55, 3), 13, 90]-NRT-code) | [i] | ||
| 10 | Linear OOA(2149, 54, F2, 3, 88) (dual of [(54, 3), 13, 89]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(2148, 54, F2, 3, 87) (dual of [(54, 3), 14, 88]-NRT-code) | [i] | ||
| 12 | Linear OOA(2147, 54, F2, 3, 86) (dual of [(54, 3), 15, 87]-NRT-code) | [i] | ||
| 13 | Linear OOA(2146, 53, F2, 3, 85) (dual of [(53, 3), 13, 86]-NRT-code) | [i] | ||
| 14 | Linear OOA(2145, 53, F2, 3, 84) (dual of [(53, 3), 14, 85]-NRT-code) | [i] | ||
| 15 | Linear OOA(2144, 53, F2, 3, 83) (dual of [(53, 3), 15, 84]-NRT-code) | [i] | ||
| 16 | Linear OOA(2142, 52, F2, 3, 81) (dual of [(52, 3), 14, 82]-NRT-code) | [i] | ||
| 17 | Linear OOA(2141, 52, F2, 3, 80) (dual of [(52, 3), 15, 81]-NRT-code) | [i] | ||
| 18 | Linear OOA(2139, 51, F2, 3, 78) (dual of [(51, 3), 14, 79]-NRT-code) | [i] | ||