Hall Of Fame

Parameter SetAuthors

McEliece Parameters

A McEliece public key is a matrix , which is used to define a parity check matrix of a binary Goppa code .
The corresponding secret key consists of a list and a degree- polynomial , such that

A McEliece ciphertext is a vector , called the syndrome, where is a secret error vector of Hamming weight .

Format of Instances

Our challenges contain a public key, a syndrome, and the parameters , and .
Additionally, they contain a vector , representing a degree- polynomial , which defines the field .

Using our script, the secret vector can be decoded to a human-readable message.

Estimated Bit-Complexity

The bit complexities for recovering the error vector were estimated with the Binary Syndrome Decoding Estimator.


Challenge Parameters

mceliece-37

Category: Decryption

approx. bit complexity:

37

n

500

m

10

t

10

mceliece-38

Category: Decryption

approx. bit complexity:

38

n

512

m

9

t

11

mceliece-42

Category: Decryption

approx. bit complexity:

42

n

600

m

10

t

12

mceliece-46

Category: Decryption

approx. bit complexity:

46

n

700

m

10

t

14

mceliece-51

Category: Decryption

approx. bit complexity:

51

n

800

m

10

t

16

mceliece-55

Category: Decryption

approx. bit complexity:

55

n

900

m

10

t

18

mceliece-59

Category: Decryption

approx. bit complexity:

59

n

1000

m

10

t

20

mceliece-58

Category: Decryption

approx. bit complexity:

58

n

1024

m

10

t

20

mceliece-61

Category: Decryption

approx. bit complexity:

61

n

1100

m

11

t

20

mceliece-66

Category: Decryption

approx. bit complexity:

66

n

1200

m

11

t

22

mceliece-69

Category: Decryption

approx. bit complexity:

69

n

1300

m

11

t

24

mceliece-74

Category: Decryption

approx. bit complexity:

74

n

1400

m

11

t

26

mceliece-77

Category: Decryption

approx. bit complexity:

77

n

1500

m

11

t

28

mceliece-81

Category: Decryption

approx. bit complexity:

81

n

1600

m

11

t

30

mceliece-85

Category: Decryption

approx. bit complexity:

85

n

1700

m

11

t

32

mceliece-89

Category: Decryption

approx. bit complexity:

89

n

1800

m

11

t

34

mceliece-93

Category: Decryption

approx. bit complexity:

93

n

1900

m

11

t

36

mceliece-97

Category: Decryption

approx. bit complexity:

97

n

2000

m

11

t

38

mceliece-95

Category: Decryption

approx. bit complexity:

95

n

2048

m

11

t

38