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Jul 19, 2012 at 15:41 comment added Jyrki Lahtonen Sorry about being a bit cranky here. I cannot get rid of my preconceived notion of the "correct" version of this question, and only the third (or chronologically the first) example is a good match with that.
Jul 19, 2012 at 14:52 history edited Dilip Sarwate CC BY-SA 3.0
corrected typos
Jul 19, 2012 at 8:10 comment added Jyrki Lahtonen Hmm. I rather like the third example only. While it may fit the scope of the question, going for a coset feels like cheating. As does a code with one component always zero.
Jul 19, 2012 at 1:23 history edited Dilip Sarwate CC BY-SA 3.0
added 416 characters in body
Jul 18, 2012 at 23:17 history edited Dilip Sarwate CC BY-SA 3.0
deleted 305 characters in body
Jul 18, 2012 at 22:52 comment added Gerhard Paseman Welcome to MathOverflow! Gerhard "Ask Me About System Design" Paseman, 2012.07.18
Jul 18, 2012 at 21:38 history edited Dilip Sarwate CC BY-SA 3.0
added note in response to OP''s request for simpler example.
Jul 18, 2012 at 6:55 comment added Jyrki Lahtonen That's a nice one (+1). I was half expecting something longer.
Jul 17, 2012 at 19:14 history answered Dilip Sarwate CC BY-SA 3.0