Information on Result #687546
Linear OA(8152, 1377, F8, 44) (dual of [1377, 1225, 45]-code), using construction X applied to Ce(43) ⊂ Ce(40) based on
- linear OA(8149, 1366, F8, 44) (dual of [1366, 1217, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 1365 | 84−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(8141, 1366, F8, 41) (dual of [1366, 1225, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 1365 | 84−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(83, 11, F8, 2) (dual of [11, 8, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-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 OOA(8152, 688, F8, 2, 44) (dual of [(688, 2), 1224, 45]-NRT-code) | [i] | OOA Folding | |