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Reference.org
Standard array
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<p>In <a href="/facts/Coding_theory/SBqStoGL">coding theory</a>, a standard array (or Slepian array) is a q n − k {\displaystyle q^{n-k}} by q k {\displaystyle q^{k}} array that lists all elements of a particular F q n {\displaystyle \mathbb {F} _{q}^{n}} <a href="/facts/Vector_space/M1pxMLx2">vector space</a>. Standard arrays are used to <a href="/facts/Decoding_methods/A0x9Dpgq">decode</a> <a href="/facts/Linear_code/HoFI3eyF">linear codes</a>; i.e. to find the corresponding <a href="/facts/Code_word_(communication)/sASREopJ">codeword</a> for any received vector. </p>