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please clarify what it does. yes it is some kind of multiply but what does it do differently from the regular multiply
Flok ( talk) 06:03, 10 June 2013 (UTC)
May I add a reference that shows the usefulness of the carry-less multiplication? See below:
http://doi.ieeecomputersociety.org/10.1109/TC.2007.70832
robg 16:54, 22 July 2010 (UTC)
Carryless multiplication can be used also in many other fields, for example in computing CRC codes http://dx.doi.org/10.1109/90.477710 and in fast forwarding shift registers (like in Gold code generators). Should this article include a section on uses of this instruction? Lauri.pirttiaho ( talk) 10:53, 5 February 2011 (UTC)
This article has no third-party sources; it does not establish that this instruction set finds actual use, and that it's actually fast enough for its intended purpose. QVVERTYVS ( hm?) 23:28, 26 January 2015 (UTC)
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The article currently says that PCLMULQDQ "performs a carry-less multiplication of two 64-bit polynomials over the finite field GF(2)[X]." However, the documentation here https://www.intel.com/content/dam/develop/external/us/en/documents/clmul-wp-rev-2-02-2014-04-20.pdf says the instruction simply does "Carry-less multiplication of one quadword (8 bytes) of xmm1 by one quadword (8 bytes) of xmm2/m128, returning a double quadword (16 bytes). The immediate byte is used for determining which quadwords of xmm1 and xmm2/m128 should be used." This is not the same as "multiplication over the finite field GF(2)[X]", since the later also requires taking the modulo with an irreducible polynomial. The current text suggests that the instruction does the modulo, which appears to be false. Thomasda ( talk) 02:50, 22 January 2023 (UTC)
Why is this article so Intel centric? Other architectures certainly offer support for polynomial multiplication over GF(2). ARM for example has PMULL and PMULL2. Maybe RISC-V also has instructions? Skoehler ( talk) 00:35, 15 November 2023 (UTC)
This article is rated Start-class on Wikipedia's
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please clarify what it does. yes it is some kind of multiply but what does it do differently from the regular multiply
Flok ( talk) 06:03, 10 June 2013 (UTC)
May I add a reference that shows the usefulness of the carry-less multiplication? See below:
http://doi.ieeecomputersociety.org/10.1109/TC.2007.70832
robg 16:54, 22 July 2010 (UTC)
Carryless multiplication can be used also in many other fields, for example in computing CRC codes http://dx.doi.org/10.1109/90.477710 and in fast forwarding shift registers (like in Gold code generators). Should this article include a section on uses of this instruction? Lauri.pirttiaho ( talk) 10:53, 5 February 2011 (UTC)
This article has no third-party sources; it does not establish that this instruction set finds actual use, and that it's actually fast enough for its intended purpose. QVVERTYVS ( hm?) 23:28, 26 January 2015 (UTC)
Hello fellow Wikipedians,
I have just modified 2 external links on CLMUL instruction set. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:
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(last update: 18 January 2022).
Cheers.— InternetArchiveBot ( Report bug) 16:39, 28 July 2017 (UTC)
The article currently says that PCLMULQDQ "performs a carry-less multiplication of two 64-bit polynomials over the finite field GF(2)[X]." However, the documentation here https://www.intel.com/content/dam/develop/external/us/en/documents/clmul-wp-rev-2-02-2014-04-20.pdf says the instruction simply does "Carry-less multiplication of one quadword (8 bytes) of xmm1 by one quadword (8 bytes) of xmm2/m128, returning a double quadword (16 bytes). The immediate byte is used for determining which quadwords of xmm1 and xmm2/m128 should be used." This is not the same as "multiplication over the finite field GF(2)[X]", since the later also requires taking the modulo with an irreducible polynomial. The current text suggests that the instruction does the modulo, which appears to be false. Thomasda ( talk) 02:50, 22 January 2023 (UTC)
Why is this article so Intel centric? Other architectures certainly offer support for polynomial multiplication over GF(2). ARM for example has PMULL and PMULL2. Maybe RISC-V also has instructions? Skoehler ( talk) 00:35, 15 November 2023 (UTC)