#Classification of bent cubics # P. Langevin, june 2013 --- num=0 anf= fixsize=5348063769211699200 bentable : yes #mult=1 anf=de+cf+bg+ah card=112881664 --- num=1 anf=abd fixsize=55046716784640 bentable : yes #mult=97155 anf=abd+de+cf+bg+ah card=13332480 --- num=2 anf=beg+fgh fixsize=63417876480 bentable : yes #mult=84330540 anf=de+bf+cg+beg+ah+fgh card=1290240 anf=ab+ad+de+bf+cg+beg+ah+fgh card=1376256 --- num=3 anf=acd+aef+bcg+agh fixsize=2359296 bentable : no --- num=4 anf=abc+abd+abe+abg+beg+ach+fgh fixsize=294912 bentable : no --- num=5 anf=abc+abd+abe+abg+beg+ach+adh+fgh fixsize=1179648 bentable : no --- num=6 anf=abc+abd+acd+bcd+abe+ade+acf+cdf+abg+beg+fgh fixsize=3072 bentable : no --- num=7 anf=abc+abd+bcd+abe+bce+bde+bdf+cdf+bef+cef+abg+ceg+deg+cfg fixsize=88080384 bentable : yes #mult=60717988800 anf=ac+abc+abd+cd+bcd+ae+abe+bce+bde+af+bdf+cdf+bef+cef+abg+ceg+deg+cfg+ch+dh+eh+gh card=24576 --- num=8 anf=abc+abd+bcd+bce+cde+abf+acf+bcf+bdf+bef+bch fixsize=47185920 bentable : no --- num=9 anf=abc+acd+bcd+bce+ade+adf+bdf+aef+cef+bcg+adg+deg+afg+bch+aeh+beh+ceh fixsize=336 bentable : no --- num=10 anf=abd+cef+cgh fixsize=1935360 bentable : no --- num=11 anf=abd+abe+acf+bdf+aef+acg+adg+cdg+aeg+afg+abh+ach+deh fixsize=96768 bentable : no --- num=12 anf=abd+acd+abe+abf+adf+bdf+acg+bcg+beg+deg+bch+cdh+bgh fixsize=24576 bentable : no --- num=13 anf=abd+acd+abe+ace+bce+ade+bcf+bdf+cdf+aef+acg+adg+deg+afg+bfg+bch+aeh+ceh fixsize=432 bentable : no --- num=14 anf=abd+ade+cde+bcg+aeg fixsize=2972712960 bentable : no --- num=15 anf=abd+bcd+abe+bce+bde+cdf+aef+bef+cef+abg+ceg+deg+cfg+adh fixsize=3072 bentable : no --- num=16 anf=abd+bcd+ade+bde+cde+abf+bcf+adf+bdf+acg+bcg+cdg+beg+deg+cfg+ach+bch+cdh+aeh+beh+deh+afh+cfh+agh+dgh+egh fixsize=10752 bentable : no --- num=17 anf=abd+bcd+aeg fixsize=1387266048 bentable : no --- num=18 anf=abd+beg+cgh fixsize=9437184 bentable : no --- num=19 anf=abe+bce+ade+abg+aeg fixsize=1056964608 bentable : yes #mult=5059832400 anf=bd+abe+bce+de+ade+cf+bg+abg+aeg+ah card=344064 anf=cd+abe+bce+ade+bf+ef+bg+abg+aeg+ah card=86016 anf=ac+ad+bd+abe+bce+de+ade+bg+abg+aeg+fh card=262144 --- num=20 anf=acd+abe+ade+bcf+bdf+aeg+efg+egh fixsize=82944 bentable : no --- num=21 anf=acd+abe+ade+cde+abf+bcf+bdf+aeg+efg+cfh+egh fixsize=2304 bentable : no --- num=22 anf=acd+abe+ade+cde+bcf+bdf+aeg+efg+cfh+egh fixsize=768 bentable : no --- num=23 anf=acd+abe+bce+bde+acf+bdf+cef+abg+efg fixsize=1548288 bentable : no --- num=24 anf=acd+bcd+abe+ace+ade+cde+abf+bcf+bcg+efg+cfh+egh fixsize=192 bentable : no --- num=25 anf=acd+bcd+abe+ace+ade+cde+abf+bcf+bdf+bcg+efg+cfh+egh fixsize=3072 bentable : no --- num=26 anf=acd+bcd+abe+ace+ade+cde+abf+bcf+bdf+efg+cfh+egh+fgh fixsize=18432 bentable : no --- num=27 anf=acd+bcd+abe+bce+ade+adf+bdf+aef+acg+adg+ceg+deg+afg+bfg+abh+bch+aeh+ceh fixsize=49152 bentable : no --- num=28 anf=acd+bcd+bce+ade+adf+bdf+aef+acg+adg+ceg+deg+afg+bfg+bch+aeh+beh+ceh fixsize=46080 bentable : no --- num=29 anf=bcd+bce+bde+cde+abf+aef+def+aeg+adh+bdh fixsize=1474560 bentable : no --- num=30 anf=cdg+bfg+cfg+dfg+egh fixsize=11890851840 bentable : yes #mult=449762880 anf=de+cf+ag+cdg+bfg+cfg+dfg+bh+egh card=368640 --- num=31 anf=def+cdg+afg+adh+bfh fixsize=393216 bentable : no #number of bent class = 9 #number of bent functions=5386705781653504