Information on Result #686352
Linear OA(8159, 2097212, F8, 24) (dual of [2097212, 2097053, 25]-code), using construction X applied to Ce(24) ⊂ Ce(16) based on
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(811, 60, F8, 6) (dual of [60, 49, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 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(8162, 2097215, F8, 24) (dual of [2097215, 2097053, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8159, 1048606, F8, 2, 24) (dual of [(1048606, 2), 2097053, 25]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8159, 699070, F8, 3, 24) (dual of [(699070, 3), 2097051, 25]-NRT-code) | [i] | ||