Information on Result #2251720
Linear OA(8105, 2097193, F8, 16) (dual of [2097193, 2097088, 17]-code), using 1 times truncation based on linear OA(8106, 2097194, F8, 17) (dual of [2097194, 2097088, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(10) [i] 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(864, 2097152, F8, 11) (dual of [2097152, 2097088, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(87, 42, F8, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), 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(8105, 2097193, F8, 2, 16) (dual of [(2097193, 2), 4194281, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8105, 2097193, F8, 3, 16) (dual of [(2097193, 3), 6291474, 17]-NRT-code) | [i] | ||
| 3 | Digital (89, 105, 2097193)-net over F8 | [i] | ||
| 4 | Linear OOA(8105, 1048596, F8, 2, 16) (dual of [(1048596, 2), 2097087, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8105, 699064, F8, 3, 16) (dual of [(699064, 3), 2097087, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(8105, 262149, F8, 16, 16) (dual of [(262149, 16), 4194279, 17]-NRT-code) | [i] | OA Folding and Stacking | |