Information on Result #688482
Linear OA(8125, 573, F8, 39) (dual of [573, 448, 40]-code), using construction X applied to Ce(38) ⊂ Ce(24) based on
- linear OA(8103, 512, F8, 39) (dual of [512, 409, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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(822, 61, F8, 13) (dual of [61, 39, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(822, 63, F8, 13) (dual of [63, 41, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(822, 63, F8, 13) (dual of [63, 41, 14]-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(8126, 574, F8, 39) (dual of [574, 448, 40]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8127, 575, F8, 39) (dual of [575, 448, 40]-code) | [i] | ||