In his 1949 paper 'Communication Theory of Secrecy Systems,' Claude Shannon proved that perfect secrecy is achievable only when the key is at least as long as the message and never reused — exactly satisfied by the one-time pad cipher, first proposed decades earlier by Gilbert Vernam. This remains the only encryption scheme ever proven unconditionally, mathematically unbreakable regardless of an attacker's computing power, in contrast to every modern practical cipher (AES, RSA, etc.), whose security instead rests on computational hardness assumptions.
The question, scope, and sources behind this Registry record.
In his 1949 paper 'Communication Theory of Secrecy Systems,' Claude Shannon proved that perfect secrecy is achievable only when the key is at least as long as the message and never reused — exactly satisfied by the one-time pad cipher, first proposed decades earlier by Gilbert Vernam. This remains the only encryption scheme ever proven unconditionally, mathematically unbreakable regardless of an attacker's computing power, in contrast to every modern practical cipher (AES, RSA, etc.), whose security instead rests on computational hardness assumptions.
Claude Shannon's 1949 theorem proves that a symmetric-key cipher can achieve perfect secrecy — ciphertext statistically independent of the plaintext — only if the secret key is at least as long as the message and used exactly once, as realized by the one-time pad.
Change a parameter to stress-test whether a proposed result is still inside the published specification. This is an audit aid, not a proof checker.
This record has no editable parameters. Read the formal question and assumptions before challenging it.
Current frontiers derived from accepted Claims.
An observed or demonstrated result; no opposing bound is implied.
The frontier is not sacred
Most progress starts with a disagreement that survives contact with evidence. If you can push the known lower bound up or pull the upper bound down, show us the work.
≥ when you have shown that at least this value is achievable.≤ when you have shown that anything above this value is impossible.No vibes. State the value, define the scope, and link the paper, proof, code, or reproduction that lets another person check it. Editors review every challenge before the public record changes.
Challenge this recordAssertions tied to evidence, attribution, and review.
The frontier as it changed over time.
Only accepted Claims matching the current specification contribute to the displayed bounds. Strict inequalities remain open; contradictory Claims require editorial review.
1 accepted Claim, with 1 linked evidence records.
Permanent ID limitsregistry.com/limits/LR-SHANNON-PERFECT-SECRECY-KEY-LENGTH
No active verified bounties are linked to this Limit.
View verified bounty tracker ↗No accepted machine-checked reproductions are recorded for this Limit.
Limits Registry. LR-SHANNON-PERFECT-SECRECY-KEY-LENGTH. Minimum key length required for information-theoretically perfect secrecy. 2026.