A128902 - OEIS

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A128902

Number of degree n polynomials over GF(2) (with non-zero constant term) at Hamming distance 2 from some irreducible polynomial.

0, 0, 0, 1, 2, 7, 14, 34, 72, 157, 326, 689, 1418, 2935, 6010, 12304, 25058, 51004, 103478, 209767, 424430, 858019, 1732430, 3495434, 7046432, 14196421, 28583424, 57522469, 115704938, 232645189, 467597246, 939526144 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,5`
	LINKS	`Table of n, a(n) for n=1..32.` `G. Lee, F. Ruskey and A. Williams, Hamming distance from irreducible polynomials over GF(2)`
	EXAMPLE	`The coefficient vectors of the three degree 4 irreducible polynomials are 10011, 11111 and 11001. There is only one polynomial whose Hamming distance is two (or more) from all of them, namely 10101. Thus a(4) = \|{10101}\| = 1.`
	CROSSREFS	`Sequence in context: A140253 A018453 A000147 * A060552 A191396 A173126` `Adjacent sequences: A128899 A128900 A128901 * A128903 A128904 A128905`
	KEYWORD	`nonn`
	AUTHOR	`Frank Ruskey, Apr 22 2007`
	STATUS	`approved`

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Last modified May 25 05:52 EDT 2013. Contains 225644 sequences.