Information on Result #1323818
Linear OA(8170, 2097223, F8, 26) (dual of [2097223, 2097053, 27]-code), using construction X applied to Ce(25) ⊂ Ce(16) based on
- linear OA(8155, 2097152, F8, 26) (dual of [2097152, 2096997, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(815, 71, F8, 8) (dual of [71, 56, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(815, 73, F8, 8) (dual of [73, 58, 9]-code), using
- a “GraCyc†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(815, 73, F8, 8) (dual of [73, 58, 9]-code), using
Mode: 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(8170, 2097223, F8, 2, 26) (dual of [(2097223, 2), 4194276, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8170, 2097223, F8, 3, 26) (dual of [(2097223, 3), 6291499, 27]-NRT-code) | [i] | ||
| 3 | Digital (144, 170, 2097223)-net over F8 | [i] | ||
| 4 | Linear OOA(8170, 1048611, F8, 2, 26) (dual of [(1048611, 2), 2097052, 27]-NRT-code) | [i] | OOA Folding | |