Information on Result #1202902
Digital (53, 75, 48320)-net over F81, using net defined by OOA based on linear OOA(8175, 48320, F81, 22, 22) (dual of [(48320, 22), 1062965, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(8175, 531520, F81, 22) (dual of [531520, 531445, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(8175, 531523, F81, 22) (dual of [531523, 531448, 23]-code), using
- (u, u+v)-construction [i] 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]
- linear OA(8111, 82, F81, 11) (dual of [82, 71, 12]-code or 82-arc in PG(10,81)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(8175, 531523, F81, 22) (dual of [531523, 531448, 23]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.