Information on Result #1202866
Digital (55, 76, 53177)-net over F81, using net defined by OOA based on linear OOA(8176, 53177, F81, 22, 21) (dual of [(53177, 22), 1169818, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8176, 265886, F81, 2, 21) (dual of [(265886, 2), 531696, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8115, 164, F81, 2, 10) (dual of [(164, 2), 313, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;159,81) [i]
- linear OOA(8110, 82, F81, 2, 10) (dual of [(82, 2), 154, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;154,81) [i]
- linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8161, 265722, F81, 2, 21) (dual of [(265722, 2), 531383, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8161, 531444, F81, 21) (dual of [531444, 531383, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(8161, 531441, F81, 21) (dual of [531441, 531380, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(8161, 531444, F81, 21) (dual of [531444, 531383, 22]-code), using
- linear OOA(8115, 164, F81, 2, 10) (dual of [(164, 2), 313, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
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.