PHP ,80 Bytes
$c=OAEIHBKD;do{$r=$c[$t*4+($n=&$argv[1])%4].$r;}while(($t=!$t)|$n=$n>>2);echo$r;
Jörg Hülsermann
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$c=OAEIHBKD;do{$r=$c[$t*4+($n=&$argv[1])%4].$r;}while(($t=!$t)|$n=$n>>2);echo$r;