Geodesic
Minimal and almost minimal rank~1 lattice rules, exact on trigonometric polynomials in two variables
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 7 (2004) no. 2, pp. 125-134

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Two-dimensional rank 1 lattice rules of trigonometric degree $d$ $(d\geq 1)$ are characterized. The number of nodes of these cubature formulas is minimal or differs from minimal by one for even $d$, or by two for odd $d$. 
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     author = {M. V. Noskov and N. N. Osipov},
     title = {Minimal and almost minimal rank~1 lattice rules, exact on trigonometric polynomials in two variables},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {125--134},
     publisher = {mathdoc},
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     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2004_7_2_a3/}
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M. V. Noskov; N. N. Osipov. Minimal and almost minimal rank~1 lattice rules, exact on trigonometric polynomials in two variables. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 7 (2004) no. 2, pp. 125-134. http://geodesic.mathdoc.fr/item/SJVM_2004_7_2_a3/