Information on Result #687180
Linear OA(886, 4101, F8, 25) (dual of [4101, 4015, 26]-code), using construction X applied to Ce(24) ⊂ Ce(22) 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(881, 4096, F8, 23) (dual of [4096, 4015, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(81, 5, F8, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(885, 4100, F8, 24) (dual of [4100, 4015, 25]-code) | [i] | Truncation | |
| 2 | Linear OOA(886, 2916, F8, 2, 25) (dual of [(2916, 2), 5746, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(886, 2916, F8, 3, 25) (dual of [(2916, 3), 8662, 26]-NRT-code) | [i] | ||
| 4 | Digital (61, 86, 2916)-net over F8 | [i] | ||
| 5 | Linear OOA(886, 2050, F8, 2, 25) (dual of [(2050, 2), 4014, 26]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(886, 1367, F8, 3, 25) (dual of [(1367, 3), 4015, 26]-NRT-code) | [i] | ||