Information on Result #687391
Linear OA(8168, 4147, F8, 44) (dual of [4147, 3979, 45]-code), using construction X applied to Ce(43) ⊂ Ce(33) based on
- linear OA(8153, 4096, F8, 44) (dual of [4096, 3943, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(8117, 4096, F8, 34) (dual of [4096, 3979, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(815, 51, F8, 9) (dual of [51, 36, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(815, 64, F8, 9) (dual of [64, 49, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(815, 64, F8, 9) (dual of [64, 49, 10]-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(8168, 2073, F8, 2, 44) (dual of [(2073, 2), 3978, 45]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8168, 1382, F8, 3, 44) (dual of [(1382, 3), 3978, 45]-NRT-code) | [i] | ||