An index coding scheme in which the source (transmitter) transmits binary symbols over a wireless fading channel is considered. Index codes with the transmitter using minimum number of transmissions are known as optimal index codes. Different optimal index codes give different performances in terms of probability of error in a fading environment and this also varies from receiver to receiver. In this paper we deal with optimal index codes which minimizes the maximum probability of error among all the receivers. We identify a criterion for optimal index codes that minimizes the maximum probability of error among all the receivers. For a special class of index coding problems, we give an algorithm to identify optimal index codes which minimize the maximum error probability. We illustrate our techniques and claims with simulation results leading to conclude that a careful choice among the optimal index codes will give a considerable gain in fading channels. Index TermsIndex coding, side information, fading broadcast channels.

This paper provides a new simple heuristic algorithm for a '3-Machine, njob' flow-shop scheduling problem in which jobs are attached with weights to indicate their relative importance and the transportation time and break down intervals of machine are given. A heuristic approach method to find optimal or near optimal sequence minimizing the total weighted mean production flow time for the problem has been discussed.

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