How to implement addition and multiplication for 256-bit unsigned integer using Intel's ADX intructions?

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I need to do arithmetic operations on 256-bit unsigned integer and I need a fast implementation. AFAIK, SIMD instructions do not help because of carry propagation (Can long integer routines benefit from SSE?) and Intel's ADX instructions can help.

How can I utilize Intel's ADX instructions to make addition and multiplication faster?

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