Polysaccharides from non-cyclic sugars?

I have only come across polysaccharides from monosaccharides that has undergone intramolecular cyclization reaction. I was wondering if it is possible for polysaccharides to form from linear sugars? I think that the answer lies in how the other glycosidic bond is formed, however my knowledge of chemistry is limited so I don't know if bond formation is possible with a linear sugar.

I know a carboxylic acid group can react with a hydroxyl group, and aldehyde can be oxidised to carboxylic acid. So my guess is that it is possible to create a long ester chain from aldoses but not ketoses (as ketone group cannot react and is fully oxidised). Although then I think it would no longer classify as a polysaccharide but a poly(ester)? I'm sure these exist — I have heard of polyester of course! — although I have not come across any others specifically.

\begin{align}\ce{\underset{aldehyde}{R-CH=O}} && \ce{\underset{hemiacetal}{R-CH(OH)(OR)}} && \ce{\underset{acetal}{R-CH(OR)(OR)}}\end{align}