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Are there any high performance integer BLAS libraries that implement matrix multiplication i.e. i32gemm and i64gemm ? I need to use them for a cryptographic application and can tolerate overflows, i.e. I don't require the kernel to do any wraparound checks.

The difference between a Igemm and an Fgemm is that the latter retains the higher order bits and the previous retains the lower-order ones. My application would be performing computations on ciphers and not on the actual data. Since the data is selected in such a way that none of the elements of the product matrix (which are all signed) need more than 32 bits, the application can tolerate overflows on the ciphers.

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I think cuBLAS and OpenCL are the libraries you are looking for.

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  • $\begingroup$ The difference between a Igemm and an Fgemm is that the latter retains the higher order bits and the previous retains the lower-order ones. My application requires the lower-order bits only. I've given more context in the question. $\endgroup$
    – kesari
    Commented Aug 12, 2017 at 15:33
  • $\begingroup$ NVIDIA claims that cuBLAS supports half-precision (FP16) and integer (INT8) matrix multiplication operations. I think it is worth exploring the library. If it does not provide explicit functionality for igemm, you can develop customised subroutines for igemm following their source code. $\endgroup$
    – Chenna K
    Commented Aug 12, 2017 at 17:05
  • $\begingroup$ Yes, but I need more than 8 bits to represent the data and FP16 is already out of question ;). $\endgroup$
    – kesari
    Commented Aug 13, 2017 at 14:10

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