Information on Result #1732616
Digital (108, 132, 132867)-net over F9, using net defined by OOA based on linear OOA(9132, 132867, F9, 27, 24) (dual of [(132867, 27), 3587277, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9132, 531469, F9, 3, 24) (dual of [(531469, 3), 1594275, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9132, 531471, F9, 3, 24) (dual of [(531471, 3), 1594281, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9132, 531471, F9, 24) (dual of [531471, 531339, 25]-code), using
- construction XX applied to Ce(23) ⊂ Ce(19) ⊂ Ce(18) [i] based on
- linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(9103, 531441, F9, 20) (dual of [531441, 531338, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(997, 531441, F9, 19) (dual of [531441, 531344, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(94, 29, F9, 3) (dual of [29, 25, 4]-code or 29-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(23) ⊂ Ce(19) ⊂ Ce(18) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9132, 531471, F9, 24) (dual of [531471, 531339, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(9132, 531471, F9, 3, 24) (dual of [(531471, 3), 1594281, 25]-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.