Information on Result #689381
Linear OA(972, 59060, F9, 16) (dual of [59060, 58988, 17]-code), using construction X applied to Ce(15) ⊂ Ce(13) 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
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(972, 52201, F9, 2, 16) (dual of [(52201, 2), 104330, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(972, 52201, F9, 3, 16) (dual of [(52201, 3), 156531, 17]-NRT-code) | [i] | ||
| 3 | Digital (56, 72, 52201)-net over F9 | [i] | ||
| 4 | Linear OOA(972, 29530, F9, 2, 16) (dual of [(29530, 2), 58988, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(972, 19686, F9, 3, 16) (dual of [(19686, 3), 58986, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(972, 7382, F9, 16, 16) (dual of [(7382, 16), 118040, 17]-NRT-code) | [i] | OA Folding and Stacking | |