Information on Result #2425524
Linear OOA(2215, 130, F2, 2, 88) (dual of [(130, 2), 45, 89]-NRT-code), using strength reduction based on linear OOA(2215, 130, F2, 2, 89) (dual of [(130, 2), 45, 90]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3217, 26, F32, 17) (dual of [26, 9, 18]-code or 26-arc in PG(16,32)), using
- discarding factors / shortening the dual code based on linear OA(3217, 32, F32, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
- Reed–Solomon code RS(15,32) [i]
- discarding factors / shortening the dual code based on linear OA(3217, 32, F32, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
- linear OOA(25, 5, F2, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(3217, 26, F32, 17) (dual of [26, 9, 18]-code or 26-arc in PG(16,32)), 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(2217, 131, F2, 2, 88) (dual of [(131, 2), 45, 89]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2216, 130, F2, 2, 88) (dual of [(130, 2), 44, 89]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2215, 65, F2, 4, 88) (dual of [(65, 4), 45, 89]-NRT-code) | [i] | OOA Folding | |