RUBBER COMPOSITION HAVING IMPROVED PROPERTIES IN THE RAW STATE AND IN THE COOKED STATE

A rubber composition is based on at least an elastomeric matrix comprising at most 70 parts by weight, per hundred parts by weight of elastomer, phr, of a polyisoprene and at least 30 phr of a butadiene/styrene copolymer, the butadiene/styrene copolymer exhibiting a content of styrene units of between 20% and 40% by weight, with respect to the total weight of the butadiene/styrene copolymer, a content of trans-1,4-butadiene unit of greater than 65% by weight, with respect to the total weight of the butadiene units, a content of vinyl unit of less than 8% by weight, with respect to the total weight of the butadiene units, and a glass transition temperature of between −60° C. and −35° C.; from 35 to 75 phr of a carbon black exhibiting a BET specific surface of between 90 and 100 m/g and a COAN absorption index of between 90 and 100 ml/100 g; and a crosslinking system.