Information on Result #1193920
Digital (56, 72, 7382)-net over F9, using net defined by OOA based on linear OOA(972, 7382, F9, 16, 16) (dual of [(7382, 16), 118040, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(972, 59056, F9, 16) (dual of [59056, 58984, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(972, 59060, F9, 16) (dual of [59060, 58988, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(961, 59049, F9, 14) (dual of [59049, 58988, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(972, 59060, F9, 16) (dual of [59060, 58988, 17]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (57, 73, 7382)-net over F9 | [i] | Net Duplication | |