Information on Result #1732198
Digital (101, 122, 265721)-net over F9, using net defined by OOA based on linear OOA(9122, 265721, F9, 27, 21) (dual of [(265721, 27), 7174345, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9122, 1062885, F9, 3, 21) (dual of [(1062885, 3), 3188533, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9122, 1062888, F9, 3, 21) (dual of [(1062888, 3), 3188542, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9122, 1062888, F9, 21) (dual of [1062888, 1062766, 22]-code), using
- trace code [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
- trace code [i] based on linear OA(8161, 531444, F81, 21) (dual of [531444, 531383, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9122, 1062888, F9, 21) (dual of [1062888, 1062766, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(9122, 1062888, F9, 3, 21) (dual of [(1062888, 3), 3188542, 22]-NRT-code), using
Mode: 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.