Information on Result #686315
Linear OA(8103, 2097184, F8, 16) (dual of [2097184, 2097081, 17]-code), using construction X applied to Ce(16) ⊂ Ce(11) based on
- linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(84, 32, F8, 3) (dual of [32, 28, 4]-code or 32-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(8103, 2097184, F8, 2, 16) (dual of [(2097184, 2), 4194265, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8103, 2097184, F8, 3, 16) (dual of [(2097184, 3), 6291449, 17]-NRT-code) | [i] | ||
| 3 | Digital (87, 103, 2097184)-net over F8 | [i] | ||
| 4 | Linear OA(8104, 2097186, F8, 16) (dual of [2097186, 2097082, 17]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(8103, 1048592, F8, 2, 16) (dual of [(1048592, 2), 2097081, 17]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8103, 699061, F8, 3, 16) (dual of [(699061, 3), 2097080, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(8103, 262148, F8, 16, 16) (dual of [(262148, 16), 4194265, 17]-NRT-code) | [i] | OA Folding and Stacking | |