We have begun a program to discover high-redshift supernovae (z ~ 0.25-0.5) and study them with follow-up photometry and spectroscopy. We report here our first discovery, a supernova at z = 0.458. The photometry for this supernova closely matches the light curve calculated for this redshift from the template of well-observed nearby Type Ia supernovae. We discuss the measurement of the deceleration parameter q_0_ using such high-redshift supernovae and give the best fit value assuming this one supernova is a normal, unextincted Type Ia. We describe the main sources of error in such a measurement of q_0_ and ways to reduce these errors.
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Perlmutter et al. (1995) studied this question.