On some lacunary sums of even powers of binomial coefficients

Let m >= 2 be an even integer and p be an odd prime. We study Franel-like sums and alternating sums, as well as lacunary sums of mth powers of binomial coefficients from the point of view of arithmetic properties. This paper complements the author's prior work on the cases with m >= 1 odd although, it uses a different approach. It develops new supercongruences and determines the p-adic order of these sums as well as of generalized harmonic sums restricted to particular remainder classes modulo p.