The invention is specifically related to new molecules,which are useful as antioxidants. These molecules are polysaccharides designated as Agarinan A and Agarinan B. These polysaccharides are partially fucosylated galactoglucans. A polysaccharide designated as Agarinan A, having structural formula shown in figure 1 and comprising glucose, galactose and fucose in a ratio of 1:1:0.25. A polysaccharide designated as Agarinan B having the structural formula as shown in figure 2 and comprising glucose, galactose and fucose in a ratio of 3:1:0.25. This invention also relates to a process for isolating these compounds and compositions comprising these compounds.