Galois

This linear feedback shift-register with 39 bits counts to 549755813887.

• two-dimensional barcodes encode slightly more data for size
• human readable subtext that makes off-by-one errors detectable

If your particular use case has a first character conflict with an existing barcode, reorder the character set, before issuing ids. The first character represents 4 bits, the following seven represent 35. Every single possible id is reached, except for the all-zero internal value, WWWWWWWW, which is a lockup condition to the shift register.

Regular Expression

/^[WXYZBCDEFGHJKLMN][WXYZBCDEFGHJKLMNO123456789PQRTUV]{7}$/

// @ts-ignore
//
import { ThirtyNine } from "https://deno.land/x/thirty_nine@v1.0.0/mod.ts";

const lfsr = ThirtyNine.from("321FACE0FF");

for (let l = 10; l--; ) {
  lfsr.iterate();
  console.log(lfsr.toString());
}

Expected Result

ZVZRKTEB
XVXM6UZ2
WVWEJVX9
WNO35VOK
FE89PNFD
KZRKTEBZ
MXM6UZ2X
NWEJVX9W
EO35VOKO
J89PNFD8