Information on Result #2251563
Linear OA(888, 262165, F8, 16) (dual of [262165, 262077, 17]-code), using 1 times truncation based on linear OA(889, 262166, F8, 17) (dual of [262166, 262077, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(867, 262144, F8, 13) (dual of [262144, 262077, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(84, 22, F8, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,8)), 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(888, 262165, F8, 2, 16) (dual of [(262165, 2), 524242, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(888, 262165, F8, 3, 16) (dual of [(262165, 3), 786407, 17]-NRT-code) | [i] | ||
| 3 | Digital (72, 88, 262165)-net over F8 | [i] | ||
| 4 | Linear OOA(888, 131082, F8, 2, 16) (dual of [(131082, 2), 262076, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(888, 87388, F8, 3, 16) (dual of [(87388, 3), 262076, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(888, 32770, F8, 16, 16) (dual of [(32770, 16), 524232, 17]-NRT-code) | [i] | OA Folding and Stacking | |