Information on Result #615257
Linear OA(899, 171, F8, 49) (dual of [171, 72, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 86−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound)
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(899, 171, F8, 48) (dual of [171, 72, 49]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(899, 171, F8, 47) (dual of [171, 72, 48]-code) | [i] | ||
| 3 | Linear OA(8100, 172, F8, 49) (dual of [172, 72, 50]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(8101, 173, F8, 49) (dual of [173, 72, 50]-code) | [i] | ||
| 5 | Linear OA(8102, 174, F8, 49) (dual of [174, 72, 50]-code) | [i] | ||
| 6 | Linear OA(8103, 175, F8, 49) (dual of [175, 72, 50]-code) | [i] | ||
| 7 | Linear OA(898, 170, F8, 48) (dual of [170, 72, 49]-code) | [i] | Truncation | |
| 8 | Linear OA(897, 169, F8, 47) (dual of [169, 72, 48]-code) | [i] | ||
| 9 | Linear OA(896, 168, F8, 46) (dual of [168, 72, 47]-code) | [i] | ||
| 10 | Linear OA(895, 167, F8, 45) (dual of [167, 72, 46]-code) | [i] | ||
| 11 | Linear OA(8119, 192, F8, 49) (dual of [192, 73, 50]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 12 | Linear OA(8106, 178, F8, 51) (dual of [178, 72, 52]-code) | [i] | ✔ | |
| 13 | Linear OOA(899, 85, F8, 2, 49) (dual of [(85, 2), 71, 50]-NRT-code) | [i] | OOA Folding | |