The term 'Big Name in Sneakers' refers to four major brands in the footwear industry: PUMA (4 letters), NIKE (4 letters), ADIDAS (6 letters), CONVERSE (8 letters), and AVIA (4 letters). PUMA is a German multinational company that designs and manufactures athletic and casual footwear, apparel, and accessories. NIKE is an American multinational corporation that is engaged in the design, development, manufacturing, and worldwide marketing and sales of footwear, apparel, equipment, and accessories. ADIDAS is a German multinational corporation that designs and manufactures shoes, clothing, and accessories. CONVERSE is an American shoe company that designs, distributes, and licenses sneakers, skating shoes, lifestyle brand footwear, apparel, and accessories. AVIA is an American footwear company that specializes in athletic and casual shoes. All of these companies are considered to be big names in the sneaker industry.