Information on Result #941856
Linear OOA(4194, 101, F4, 2, 145) (dual of [(101, 2), 8, 146]-NRT-code), using juxtaposition based on
- linear OOA(424, 16, F4, 2, 19) (dual of [(16, 2), 8, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(424, 17, F4, 2, 19) (dual of [(17, 2), 10, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,14P) [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(424, 17, F4, 2, 19) (dual of [(17, 2), 10, 20]-NRT-code), using
- linear OOA(4162, 85, F4, 2, 125) (dual of [(85, 2), 8, 126]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), using
- extended Reed–Solomon code RSe(4,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,4) [i]
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), using
- concatenation of two NRT-codes [i] based on
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(4194, 101, F4, 2, 144) (dual of [(101, 2), 8, 145]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4194, 101, F4, 2, 143) (dual of [(101, 2), 8, 144]-NRT-code) | [i] | ||
| 3 | Linear OOA(4194, 101, F4, 2, 142) (dual of [(101, 2), 8, 143]-NRT-code) | [i] | ||