As　a　kind　of　special　digital　signature,　proxy　re-signature　is　becoming　more　and　more　important　in　transparent　certification　and　management　of　group　signatures.　But　most　existing　proxy　re-signature　schemes　cannot　resist　collusion　attack.　So　we　construct　a　scheme　by　using　dual　modulus　technology　and　lattice　structure.　Dual　modulus　technology　can　ensure　that　our　solution　can　resist　various　collusion　attacks.　Lattice　structure　can　ensure　that　our　scheme　is　secure　in　the　postquantum　era.　Compared　with　the　previous　scheme,　our　scheme　is　unidirectional　and　certificateless,　is　secure　in　the　post-quantum　era,　does　not　require　key　escrow,　can　prevent　man-in-the-middle　attacks,　and　can　resist　collusion　attacks　of　proxy　and　delegatee　as　well　as　proxy　and　delegator.　Moreover,　our　scheme　is　unidirectional　and　has　better　privacy.　Furthermore,　under　the　random　oracle　model,　we　prove　that　our　scheme　is　strong　nonforgeability　against　external　attackers　and　the　internal　key　generation　center.