Information on Result #737867
Linear OA(8123, 4130, F8, 33) (dual of [4130, 4007, 34]-code), using construction X applied to Ce(32) ⊂ Ce(25) based on
- linear OA(8113, 4096, F8, 33) (dual of [4096, 3983, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(889, 4096, F8, 26) (dual of [4096, 4007, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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 OA(8125, 4132, F8, 33) (dual of [4132, 4007, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8122, 4129, F8, 32) (dual of [4129, 4007, 33]-code) | [i] | Truncation | |
| 3 | Linear OOA(8123, 2065, F8, 2, 33) (dual of [(2065, 2), 4007, 34]-NRT-code) | [i] | OOA Folding | |