Information on Result #1813021
Digital (36, 72, 2069)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8172, 2069, F81, 3, 36) (dual of [(2069, 3), 6135, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8172, 2188, F81, 3, 36) (dual of [(2188, 3), 6492, 37]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8172, 6564, F81, 36) (dual of [6564, 6492, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(8172, 6566, F81, 36) (dual of [6566, 6494, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(33) [i] based on
- linear OA(8171, 6561, F81, 36) (dual of [6561, 6490, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8167, 6561, F81, 34) (dual of [6561, 6494, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(35) ⊂ Ce(33) [i] based on
- discarding factors / shortening the dual code based on linear OA(8172, 6566, F81, 36) (dual of [6566, 6494, 37]-code), using
- OOA 3-folding [i] based on linear OA(8172, 6564, F81, 36) (dual of [6564, 6492, 37]-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.