Information on Result #1198526
Digital (62, 89, 1517)-net over F27, using net defined by OOA based on linear OOA(2789, 1517, F27, 27, 27) (dual of [(1517, 27), 40870, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(2789, 19722, F27, 27) (dual of [19722, 19633, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,8]) [i] based on
- linear OA(2779, 19684, F27, 27) (dual of [19684, 19605, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(2749, 19684, F27, 17) (dual of [19684, 19635, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2710, 38, F27, 9) (dual of [38, 28, 10]-code), using
- extended algebraic-geometric code AGe(F,28P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- construction X applied to C([0,13]) ⊂ C([0,8]) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (63, 90, 1517)-net over F27 | [i] | Net Duplication | |
| 2 | Digital (62, 88, 1517)-net over F27 | [i] | m-Reduction | |