Information on Result #918083
Linear OOA(4258, 148, F4, 2, 158) (dual of [(148, 2), 38, 159]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1655, 37, F16, 2, 52) (dual of [(37, 2), 19, 53]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1655, 38, F16, 2, 52) (dual of [(38, 2), 21, 53]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,23P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OOA(1655, 38, F16, 2, 52) (dual of [(38, 2), 21, 53]-NRT-code), using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(2,4) [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(4258, 148, F4, 2, 157) (dual of [(148, 2), 38, 158]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4258, 148, F4, 2, 156) (dual of [(148, 2), 38, 157]-NRT-code) | [i] | ||
| 3 | Linear OOA(4260, 149, F4, 2, 158) (dual of [(149, 2), 38, 159]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(4259, 148, F4, 2, 158) (dual of [(148, 2), 37, 159]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(4257, 147, F4, 2, 157) (dual of [(147, 2), 37, 158]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(4256, 147, F4, 2, 156) (dual of [(147, 2), 38, 157]-NRT-code) | [i] | ||
| 7 | Linear OOA(4255, 146, F4, 2, 155) (dual of [(146, 2), 37, 156]-NRT-code) | [i] | ||
| 8 | Linear OOA(4254, 146, F4, 2, 154) (dual of [(146, 2), 38, 155]-NRT-code) | [i] | ||
| 9 | Linear OOA(4253, 145, F4, 2, 153) (dual of [(145, 2), 37, 154]-NRT-code) | [i] | ||
| 10 | Linear OOA(4252, 145, F4, 2, 152) (dual of [(145, 2), 38, 153]-NRT-code) | [i] | ||
| 11 | Linear OOA(4251, 144, F4, 2, 151) (dual of [(144, 2), 37, 152]-NRT-code) | [i] | ||