Information on Result #670334
Linear OA(8175, 531523, F81, 22) (dual of [531523, 531448, 23]-code), using (u, u+v)-construction based on
- linear OA(8111, 82, F81, 11) (dual of [82, 71, 12]-code or 82-arc in PG(10,81)), using
- extended Reed–Solomon code RSe(71,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(8164, 531441, F81, 22) (dual of [531441, 531377, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
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 OOA(8175, 48320, F81, 22, 22) (dual of [(48320, 22), 1062965, 23]-NRT-code) | [i] | OA Folding and Stacking | |