Information on Result #846505
Linear OOA(8159, 2065, F8, 2, 43) (dual of [(2065, 2), 3971, 44]-NRT-code), using OOA 2-folding based on linear OA(8159, 4130, F8, 43) (dual of [4130, 3971, 44]-code), using
- construction X applied to Ce(42) ⊂ Ce(35) [i] 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(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(810, 34, F8, 6) (dual of [34, 24, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 39, F8, 6) (dual of [39, 29, 7]-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(8161, 2066, F8, 2, 43) (dual of [(2066, 2), 3971, 44]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8160, 2065, F8, 2, 43) (dual of [(2065, 2), 3970, 44]-NRT-code) | [i] | OOA Duplication | |