Information on Result #687209
Linear OA(8150, 4105, F8, 43) (dual of [4105, 3955, 44]-code), using construction X applied to Ce(42) ⊂ Ce(40) 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(8141, 4096, F8, 41) (dual of [4096, 3955, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(8151, 4106, F8, 43) (dual of [4106, 3955, 44]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8150, 2052, F8, 2, 43) (dual of [(2052, 2), 3954, 44]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8150, 1368, F8, 3, 43) (dual of [(1368, 3), 3954, 44]-NRT-code) | [i] | ||