Information on Result #687320
Linear OA(8148, 4123, F8, 41) (dual of [4123, 3975, 42]-code), using construction X applied to Ce(40) ⊂ Ce(34) based on
- linear OA(8141, 4096, F8, 41) (dual of [4096, 3955, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(8121, 4096, F8, 35) (dual of [4096, 3975, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(87, 27, F8, 5) (dual of [27, 20, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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(8147, 4122, F8, 40) (dual of [4122, 3975, 41]-code) | [i] | Truncation | |
| 2 | Linear OOA(8148, 2061, F8, 2, 41) (dual of [(2061, 2), 3974, 42]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8148, 1374, F8, 3, 41) (dual of [(1374, 3), 3974, 42]-NRT-code) | [i] | ||