Information on Result #687379
Linear OA(8171, 4142, F8, 45) (dual of [4142, 3971, 46]-code), using construction X applied to Ce(44) ⊂ Ce(35) based on
- linear OA(8157, 4096, F8, 45) (dual of [4096, 3939, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(8125, 4096, F8, 36) (dual of [4096, 3971, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(814, 46, F8, 8) (dual of [46, 32, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(814, 63, F8, 8) (dual of [63, 49, 9]-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(8171, 2071, F8, 2, 45) (dual of [(2071, 2), 3971, 46]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8171, 1380, F8, 3, 45) (dual of [(1380, 3), 3969, 46]-NRT-code) | [i] | ||