Geodesic
On minimal cubature formulas with the trigonometric $d$-property in the two-dimensional case
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 1, pp. 8-16

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In the two-dimensional case, a characterization is given of all minimal cubature formulas with the trigonometric $d$-property, where $d$ is odd. For an even $d$, all minimal lattice rules with the trigonometric $d$-property are characterized. 
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     author = {N. N. Osipov},
     title = {On minimal cubature formulas with the trigonometric $d$-property in the two-dimensional case},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     volume = {45},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_1_a1/}
}
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N. N. Osipov. On minimal cubature formulas with the trigonometric $d$-property in the two-dimensional case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 1, pp. 8-16. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_1_a1/