Information on Result #721307
Linear OA(1691, 118, F16, 57) (dual of [118, 27, 58]-code), using construction X applied to C([6,62]) ⊂ C([23,62]) based on
- linear OA(1673, 85, F16, 57) (dual of [85, 12, 58]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {6,7,…,62}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(1658, 85, F16, 40) (dual of [85, 27, 41]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {23,24,…,62}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(1618, 33, F16, 16) (dual of [33, 15, 17]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, 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 OA(1691, 118, F16, 56) (dual of [118, 27, 57]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(1691, 59, F16, 2, 57) (dual of [(59, 2), 27, 58]-NRT-code) | [i] | OOA Folding | |