One-step majority-logic decodable codes derived from oval designs

In this paper, we investigate the combinatorial design of a new class of One-Step Majority-Logic Decodable (OSMLD) codes, based on Balanced Incomplete Block Designs of type Oval, which are derived from finite geometry. We show that the constructed OSMLD codes provides high rates in addition to good correction capacities. Simulation results shows that the proposed codes converge well under iterative decoding with an efficient tradeoff between complexity and performances.