Information on Result #1729950
Digital (137, 169, 32719)-net over F8, using net defined by OOA based on linear OOA(8169, 32719, F8, 39, 32) (dual of [(32719, 39), 1275872, 33]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(8169, 196315, F8, 3, 32) (dual of [(196315, 3), 588776, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8169, 196315, F8, 32) (dual of [196315, 196146, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(8169, 262150, F8, 32) (dual of [262150, 261981, 33]-code), using
- 1 times truncation [i] based on linear OA(8170, 262151, F8, 33) (dual of [262151, 261981, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- linear OA(8169, 262144, F8, 33) (dual of [262144, 261975, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8163, 262144, F8, 31) (dual of [262144, 261981, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- 1 times truncation [i] based on linear OA(8170, 262151, F8, 33) (dual of [262151, 261981, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(8169, 262150, F8, 32) (dual of [262150, 261981, 33]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8169, 196315, F8, 32) (dual of [196315, 196146, 33]-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.