Information on Result #1202836
Digital (30, 51, 672)-net over F81, using net defined by OOA based on linear OOA(8151, 672, F81, 22, 21) (dual of [(672, 22), 14733, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8151, 3361, F81, 2, 21) (dual of [(3361, 2), 6671, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8151, 3363, F81, 2, 21) (dual of [(3363, 2), 6675, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8110, 82, F81, 2, 10) (dual of [(82, 2), 154, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;154,81) [i]
- linear OOA(8141, 3281, F81, 2, 21) (dual of [(3281, 2), 6521, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8141, 6562, F81, 21) (dual of [6562, 6521, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8141, 6562, F81, 21) (dual of [6562, 6521, 22]-code), using
- linear OOA(8110, 82, F81, 2, 10) (dual of [(82, 2), 154, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8151, 3363, F81, 2, 21) (dual of [(3363, 2), 6675, 22]-NRT-code), using
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
None.