113bit

113bit is a term encountered in theoretical discussions of data representation and cryptography to denote a width of 113 bits. It is not part of any standard specification and has no official definition beyond its use as a hypothetical or experimental length. In literature, 113-bit widths are discussed in contexts exploring non-standard word sizes, compact encodings, or research into arithmetic with irregular bit lengths.

Definition and scope: A 113-bit value requires at least two machine words on common architectures; operations such as addition, multiplication, and modular reduction often require multi-precision arithmetic. There is no dedicated 113-bit hardware register, so implementations rely on generic big-integer libraries or packing schemes across multiple words. The concept is primarily used to study trade-offs rather than to prescribe a practical standard.

Security and cryptographic considerations: If 113 bits of entropy are used for a key, the nominal brute-force security is around 2^113, while a 113-bit hash output would have preimage resistance near 2^113 and collision resistance around 2^56 by the birthday bound. Non-standard widths can introduce implementation pitfalls—padding, alignment, or side-channel risks—that affect both security and performance. Because 113 is not a conventional size, designs are typically exploratory and evaluated for feasibility rather than deployed in production.

Applications and usage: The notion exists mainly in theoretical explorations of non-power-of-two bit widths, experimental cryptographic schemes, or hardware designs investigating irregular word sizes. It is not used in standard protocols or widely deployed systems, and practical guidance remains limited to academic or hobbyist discussions.

See also: Bit width, Big integer, Non-power-of-two length, Cryptographic key size, Hash length.