Information on Result #1746152
Digital (47, 69, 106642)-net over F81, using net defined by OOA based on linear OOA(8169, 106642, F81, 28, 22) (dual of [(106642, 28), 2985907, 23]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8169, 319927, F81, 4, 22) (dual of [(319927, 4), 1279639, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8169, 319928, F81, 4, 22) (dual of [(319928, 4), 1279643, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8169, 319928, F81, 22) (dual of [319928, 319859, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(8169, 531464, F81, 22) (dual of [531464, 531395, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- 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(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(815, 23, F81, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,81)), using
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- Reed–Solomon code RS(76,81) [i]
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(8169, 531464, F81, 22) (dual of [531464, 531395, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8169, 319928, F81, 22) (dual of [319928, 319859, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(8169, 319928, F81, 4, 22) (dual of [(319928, 4), 1279643, 23]-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.