Information on Result #641388
Linear OA(8128, 135, F8, 100) (dual of [135, 7, 101]-code), using juxtaposition based on
- linear OA(855, 62, F8, 45) (dual of [62, 7, 46]-code), using
- discarding factors / shortening the dual code based on linear OA(855, 63, F8, 45) (dual of [63, 8, 46]-code), using
- the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
- discarding factors / shortening the dual code based on linear OA(855, 63, F8, 45) (dual of [63, 8, 46]-code), using
- linear OA(866, 73, F8, 54) (dual of [73, 7, 55]-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(8128, 135, F8, 99) (dual of [135, 7, 100]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(8128, 45, F8, 3, 100) (dual of [(45, 3), 7, 101]-NRT-code) | [i] | OOA Folding | |