A terminal device comprising: an antenna unit configured to receive a Physical Downlink Control Channel, PDCCH; and a radio transmission and/or reception unit configured to monitor, in a subframe k, a first set S k of first PDCCH candidates and a second set S k of second PDCCH candidates, wherein the first set S k corresponds to a first Carrier Indicator Field, CIF, value n CI and a first aggregation level L, the second set S k corresponds to a second CIF value n CI and the first aggregation level L, a first number M c of the first PDCCH candidates is given based on at least a first coefficient α c indicated by first information and a value M, the value M is a predetermined value corresponding to the first aggregation level L, a second number M c of the second PDCCH candidates is given based on at least a second coefficient α c indicated by second information and the value M, and first Control Channel Elements, CCEs, corresponding to an m-th first PDCCH candidate of the first PDCCH candidates included in the first set S k and second CCEs corresponding to an m-th second PDCCH candidate of the second PDCCH candidates included in the second set S k are given by Expressions 9 and 10: L Y k + m ′ mod floor N CCE, k / L + i where i = 0,1,..., L - 1 m ′ = M L ⋅ n CI where m = 0,1,..., M c L − 1 where N CCE,k is a total number of CCEs included in at least the first CCE in the subframe k and the second CCE in the subframe k, a value Y k is given by a value n RNTI and slot number n s, with Yk = (A ·Yk-1) mod D where Y-1 = nRNTI ≠ 0, A=39827, D=65537, k = floor(ns/2), floor is a function for returning a value obtained by truncating an input value below a decimal point, and A mod B is a function for returning a remainder obtained by dividing A by B. an antenna unit configured to receive a Physical Downlink Control Channel, PDCCH; and a radio transmission and/or reception unit configured to monitor, in a subframe k, a first set S k of first PDCCH candidates and a second set S k of second PDCCH candidates, wherein the first set S k corresponds to a first Carrier Indicator Field, CIF, value n CI and a first aggregation level L, the second set S k corresponds to a second CIF value n CI and the first aggregation level L, a first number M c of the first PDCCH candidates is given based on at least a first coefficient α c indicated by first information and a value M, the value M is a predetermined value corresponding to the first aggregation level L, a second number M c of the second PDCCH candidates is given based on at least a second coefficient α c indicated by second information and the value M, and first Control Channel Elements, CCEs, corresponding to an m-th first PDCCH candidate of the first PDCCH candidates included in the first set S k and second CCEs corresponding to an m-th second PDCCH candidate of the second PDCCH candidates included in the second set S k are given by Expressions 9 and 10: L Y k + m ′ mod floor N CCE, k / L + i where i = 0,1,..., L - 1 m ′ = M L ⋅ n CI where m = 0,1,..., M c L − 1 where N CCE,k is a total number of CCEs included in at least the first CCE in the subframe k and the second CCE in the subframe k, a value Y k is given by a value n RNTI and slot number n s, with Yk = (A ·Yk-1) mod D where Y-1 = nRNTI ≠ 0, A=39827, D=65537, k = floor(ns/2), floor is a function for returning a value obtained by truncating an input value below a decimal point, and A mod B is a function for returning a remainder obtained by dividing A by B.