concrete_LWE_params = {

    # 128-bits

    "LWE128_256":
        {
            "k": 1,
            "n": 256,
            "sd": -5},

    "LWE128_512":
        {
            "k": 1,
            "n": 512,
            "sd": -11},

    "LWE128_638":
        {
            "k": 1,
            "n": 630,
            "sd": -14},

    "LWE128_650":
        {
            "k": 1,
            "n": 650,
            "sd": -15},

    "LWE128_688":
        {
            "k": 1,
            "n": 688,
            "sd": -16},

    "LWE128_710":
        {
            "k": 1,
            "n": 710,
            "sd": -17},

    "LWE128_750":
        {
            "k": 1,
            "n": 750,
            "sd": -17},

    "LWE128_800":
        {
            "k": 1,
            "n": 800,
            "sd": -19},

    "LWE128_830":
        {
            "k": 1,
            "n": 830,
            "sd": -20},

    "LWE128_1024":
        {
            "k": 1,
            "n": 1024,
            "sd": -25},

    "LWE128_2048":
        {
            "k": 1,
            "n": 2048,
            "sd": -52},

    "LWE128_4096":
        {
            "k": 1,
            "n": 4096,
            "sd": -105},

    # 80 bits

    "LWE80_256":
        {
            "k": 1,
            "n": 256,
            "sd": -9,
        },

    "LWE80_256":
        {
            "k": 1,
            "n": 256,
            "sd": -19,
        },

    "LWE80_512":
        {
            "k": 1,
            "n": 512,
            "sd": -24,
        },

    "LWE80_650":
        {
            "k": 1,
            "n": 650,
            "sd": -25,
        },

    "LWE80_688":
        {
            "k": 1,
            "n": 688,
            "sd": -26,
        },

    "LWE80_710":
        {
            "k": 1,
            "n": 710,
            "sd": -27,
        },

    "LWE80_750":
        {
            "k": 1,
            "n": 750,
            "sd": -29,
        },

    "LWE80_800":
        {
            "k": 1,
            "n": 800,
            "sd": -31,
        },

    "LWE80_830":
        {
            "k": 1,
            "n": 830,
            "sd": -32,
        },

    "LWE80_1024":
        {
            "k": 1,
            "n": 1024,
            "sd": -40,
        },

    "LWE80_2048":
        {
            "k": 1,
            "n": 2048,
            "sd": -82,
        }
}



concrete_RLWE_params = {

    # 128-bits
    
    ## dimension 1

    "RLWE128_256_1":
        {
            "k": 1,
            "n": 256,
            "sd": -5},

    "RLWE128_512_1":
        {
            "k": 1,
            "n": 512,
            "sd": -11},

    "RLWE128_1024_1":
        {
            "k": 1,
            "n": 1024,
            "sd": -25},

    "RLWE128_2048_1":
        {
            "k": 1,
            "n": 2048,
            "sd": -52},

    "RLWE128_4096_1":
        {
            "k": 1,
            "n": 4096,
            "sd": -105},

    ## dimension 2

    "RLWE128_256_2":
        {
            "k": 2,
            "n": 256,
            "sd": -11},

    "RLWE128_512_2":
        {
            "k": 2,
            "n": 512,
            "sd": -25},

    ## dimension 4

    "RLWE128_256_4":
        {
            "k": 4,
            "n": 256,
            "sd": -25},

    # 80 bits
    ## dimension 1

    "RLWE80_256_1":
        {
            "k": 1,
            "n": 256,
            "sd": -9,
        },

    "RLWE80_512_1":
        {
            "k": 1,
            "n": 512,
            "sd": -19,
        },

    "RLWE80_1024_1":
        {
            "k": 1,
            "n": 1024,
            "sd": -40,
        },

    "RLWE80_2048_1":
        {
            "k": 1,
            "n": 2048,
            "sd": -82,
        },

    # dimension 2

    "RLWE80_256_2":
        {
            "k": 2,
            "n": 256,
            "sd": -19,
        },

    "RLWE80_512_2":
        {
            "k": 1,
            "n": 512,
            "sd": -40,
        },

    # dimension 4

    "RLWE80_256_4":
        {
            "k": 4,
            "n": 256,
            "sd": -40,
        },
}