Information on Result #687413
Linear OA(8169, 4160, F8, 43) (dual of [4160, 3991, 44]-code), using construction X applied to Ce(42) ⊂ Ce(29) based on
- linear OA(8149, 4096, F8, 43) (dual of [4096, 3947, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(8105, 4096, F8, 30) (dual of [4096, 3991, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(820, 64, F8, 12) (dual of [64, 44, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
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(8169, 2080, F8, 2, 43) (dual of [(2080, 2), 3991, 44]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8169, 1386, F8, 3, 43) (dual of [(1386, 3), 3989, 44]-NRT-code) | [i] | ||