Geodesic
An orthogonal basis of a local field
Izvestiya. Mathematics, Tome 7 (1973) no. 6, pp. 1225-1237 
S. V. Vostokov. An orthogonal basis of a local field. Izvestiya. Mathematics, Tome 7 (1973) no. 6, pp. 1225-1237. http://geodesic.mathdoc.fr/item/IM2_1973_7_6_a1/
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     title = {An orthogonal basis of a~local field},
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Voir la notice de l'article provenant de la source Math-Net.Ru

An effective construction is given of an orthogonal basis for a local field, starting from the Shafarevich basis.

[1] Hasse H., “Die Gruppe der $p^n$-primären Zahlen für einen Primteiler $\mathfrak{p}$ von $p$”, J. Reine und Angew. Math., (176) (1936), 174–183 | Zbl

[2] Shafarevich I. R., “Obschii zakon vzaimnosti”, Matem. sb., 26(68):1 (1950), 113–146 | Zbl

[3] Kneser M., “Zum expliziten Reziprozitätsgesetz von Safarevič”, Math. Nach., 6:2 (1951), 89–96 | DOI | MR | Zbl

[4] Hasse H., Zahlentheorie, Berlin, 1963 | MR