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PD-sets for binary RM-codes and the codes related to the Klein quadric and to the Schubert variety of PG(5,2)

Hans-Joachim Kroll, Rita Vincenti
2008 Discrete Mathematics  
We find PD-sets for some binary Grassmann codes, that is, for the projective Reed-Muller codesR(1, 4) andR(1, 5) and for the codes related to the Klein quadric KQ of PG(5, 2) and to the Schubert subvariety  ...  Then Set m = 4. Then |P| = 31. Let A 0 = {e 1 , e 2 , e 3 , e 4 , e 5 } be a fixed simplex of PG(4, 2). We consider the following simplexes of PG(4, 2): For every simplex A there are 5!  ...  We present PD-sets for the binary projective first-order Reed-Muller codesR(1, 4) andR(1, 5) (see Proposition 7) and for the codes related to the Klein quadric KQ of PG(5, 2) and to the Schubert subvariety  ... 
doi:10.1016/j.disc.2006.11.057 fatcat:oktn27eyejhgzjhjh375hpxvmi