Information on Result #687334
Linear OA(892, 4123, F8, 25) (dual of [4123, 4031, 26]-code), using construction X applied to Ce(24) ⊂ Ce(18) based on
- linear OA(885, 4096, F8, 25) (dual of [4096, 4011, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(865, 4096, F8, 19) (dual of [4096, 4031, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(891, 4122, F8, 24) (dual of [4122, 4031, 25]-code) | [i] | Truncation | |
| 2 | Linear OOA(892, 2061, F8, 2, 25) (dual of [(2061, 2), 4030, 26]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(892, 1374, F8, 3, 25) (dual of [(1374, 3), 4030, 26]-NRT-code) | [i] | ||