Information on Result #687338
Linear OA(876, 4123, F8, 20) (dual of [4123, 4047, 21]-code), using construction X applied to Ce(19) ⊂ Ce(13) based on
- linear OA(869, 4096, F8, 20) (dual of [4096, 4027, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(849, 4096, F8, 14) (dual of [4096, 4047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(87, 27, F8, 5) (dual of [27, 20, 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(876, 2061, F8, 2, 20) (dual of [(2061, 2), 4046, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(876, 1374, F8, 3, 20) (dual of [(1374, 3), 4046, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(876, 412, F8, 20, 20) (dual of [(412, 20), 8164, 21]-NRT-code) | [i] | OA Folding and Stacking | |