Geodesic
On commutative ring spectra of characteristic~2
Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 471-479

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The following theorem (a conjecture of Rourke) is proved: every commutative ring spectrum $E$ of characteristic 2 which has finite type is isomorphic to the spectrum of ordinary cohomology theory with coefficients in $\pi_*(E)$. Bibliography: 13 titles. 
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     author = {A. V. Pajitnov and Yu. B. Rudyak},
     title = {On commutative ring spectra of characteristic~2},
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A. V. Pajitnov; Yu. B. Rudyak. On commutative ring spectra of characteristic~2. Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 471-479. http://geodesic.mathdoc.fr/item/SM_1985_52_2_a9/