Information on Result #688468
Linear OA(8120, 568, F8, 38) (dual of [568, 448, 39]-code), using construction X applied to Ce(37) ⊂ Ce(24) based on
- linear OA(8100, 512, F8, 38) (dual of [512, 412, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(864, 512, F8, 25) (dual of [512, 448, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(820, 56, F8, 12) (dual of [56, 36, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(820, 63, F8, 12) (dual of [63, 43, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(820, 63, F8, 12) (dual of [63, 43, 13]-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(8121, 569, F8, 38) (dual of [569, 448, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8122, 570, F8, 38) (dual of [570, 448, 39]-code) | [i] | ||
| 3 | Linear OA(8123, 571, F8, 38) (dual of [571, 448, 39]-code) | [i] | ||
| 4 | Linear OOA(8120, 284, F8, 2, 38) (dual of [(284, 2), 448, 39]-NRT-code) | [i] | OOA Folding | |