Addition chains: Difference between revisions

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An '''addition chain''' of length r for n is a sequence 1 = a(0) < a(1) < a(2) ... < a(r) = n , such as a(k) = a(i) + a(j) ( i < k and j < k , i may be = j) . Each member is the sum of two earlier members, not necessarily distincts.
 
A [[wp:Addition_chain#Brauer_chain|Brauer chain]] for n is an addition chain where a(k) = a(k-1) + a(j) with j < k. Each member uses the previous member as a summand.
 
We are interested in chains of minimal length l(n).
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