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. 2013 Jun 19;29(13):i71–i79. doi: 10.1093/bioinformatics/btt230

Table 1.

Length of reverse complementary de Bruijn sequences produced by the two algorithms for even k

k 2 4 6 8 10 12 14
Original 16 256 4096 65 536 1 048 576 16 777 216 268 435 456
Lower bound 10 136 2080 32 896 524 800 8 390 656 134 225 920
Algorithm 1 10 142 2140 33 262 526 840 8 400 808 134 275 060
Optimal 10 142 2140 33 262 526 816 8 400 772 134 274 844
Saving factor 1.6 1.8 1.91 1.97 1.990 1.997 1.999

Note: The top row is the length of a regular de Bruijn sequence that does not exploit complementarity. The next row contains the theoretical lower bound on RC complete sequence length (Proposition 1). The next two rows are the lengths of the sequence computed by the two algorithms of Section 3.3.1 and 3.3.2. The saving factor is the ratio between the original sequence length and length of the optimal RC complete sequence. Note that the lower bound is not tight.