Information on Result #687342
Linear OA(8172, 4127, F8, 47) (dual of [4127, 3955, 48]-code), using construction X applied to Ce(46) ⊂ Ce(40) based on
- linear OA(8165, 4096, F8, 47) (dual of [4096, 3931, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [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(87, 31, F8, 5) (dual of [31, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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 OA(8173, 4128, F8, 47) (dual of [4128, 3955, 48]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8172, 2063, F8, 2, 47) (dual of [(2063, 2), 3954, 48]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8172, 1375, F8, 3, 47) (dual of [(1375, 3), 3953, 48]-NRT-code) | [i] | ||