It's the first idea I had when it came to making sure login on my server is secure. Instead of having a small password that relies on my fallinble memory and may be also guessed in a not-completely-rodiculous amount of time.
Meanwhile a fairly small file, something like a 512 byte "user.key", to be uploaded along with your username, or even just having your username built-in, seems much safer.
I wanted to do some math but I could only find limited calculators for doing calculations with such big numbers so have the amount of possible combinations the file may have:
256^512
1,044,388,881,413,152,506,691,752,710,716,624,382,579,964,249,047,383,780,384,233,483,283,953,907,971,557,456,848,826,811,934,997,558,340,890,106,714,439,262,837,987,573,438,185,793,607,263,236,087,851,365,277,945,956,976,543,709,998,340,361,590,134,383,718,314,428,070,011,855,946,226,376,318,839,397,712,745,672,334,684,344,586,617,496,807,908,705,803,704,071,284,048,740,118,609,114,467,977,783,598,029,006,686,938,976,881,787,785,946,905,630,190,260,940,599,579,453,432,823,469,303,026,696,443,059,025,015,972,399,867,714,215,541,693,835,559,885,291,486,318,237,914,434,496,734,087,811,872,639,496,475,100,189,041,349,008,417,061,675,093,668,333,850,551,032,972,088,269,550,769,983,616,369,411,933,015,213,796,825,837,188,091,833,656,751,221,318,492,846,368,125,550,225,998,300,412,344,784,862,595,674,492,194,617,023,806,505,913,245,610,825,731,835,380,087,608,622,102,834,270,197,698,202,313,169,017,678,006,675,195,485,079,921,636,419,370,285,375,124,784,014,907,159,135,459,982,790,513,399,611,551,794,271,106,831,134,090,584,272,884,279,791,554,849,782,954,323,534,517,065,223,269,061,394,905,987,693,002,122,963,395,687,782,878,948,440,616,007,412,945,674,919,823,050,571,642,377,154,816,321,380,631,045,902,916,136,926,708,342,856,440,730,447,899,971,901,781,465,763,473,223,850,267,253,059,899,795,996,090,799,469,201,774,624,817,718,449,867,455,659,250,178,329,070,473,119,433,165,550,807,568,221,846,571,746,373,296,884,912,819,520,317,457,002,440,926,616,910,874,148,385,078,411,929,804,522,981,857,338,977,648,103,126,085,903,001,302,413,467,189,726,673,216,491,511,131,602,920,781,738,033,436,090,243,804,708,340,403,154,190,336
What am I missing? I assume I'm missing something, because the idea of something like this going over a lot of smart programmers and developers' heads does not sound right
Have you heard of ssh keys?
Barely, I've had to set one up for GitHub but I haven't fully figured out what they are and what they do
ssh is a protocol that is used to log in to a computer remotely. Servers are usually administrated not by plugging a keyboard and monitor into the server, but from another machine via ssh. You can configure ssh to allow login with the same username+password you would use locally, but it is common practice to only allow authentication with an ssh key.
ssh keys allow for much higher entropy like you suggested. They are also asymmetric, and the private key can be password-protected or stored on a smartcard.