Information on Result #1558746
Linear OOA(8164, 1904353, F8, 3, 26) (dual of [(1904353, 3), 5712895, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8164, 1904353, F8, 26) (dual of [1904353, 1904189, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(8164, 2097196, F8, 26) (dual of [2097196, 2097032, 27]-code), using
- 2 times code embedding in larger space [i] based on linear OA(8162, 2097194, F8, 26) (dual of [2097194, 2097032, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] 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(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(8162, 2097194, F8, 26) (dual of [2097194, 2097032, 27]-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(8164, 380870, F8, 33, 26) (dual of [(380870, 33), 12568546, 27]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |