base2e15

binary-to-text encoding schemes that represent binary data in an unicode string format, each unicode character represent 15 bits of binary data

Example

Encoding Data chararacters
Plain text Base2e15 is awesome! 20
Base2e15 嗺둽嬖蟝巍媖疌켉溁닽壪 11
Base64 QmFzZTJlMTUgaXMgYXdlc29tZSE= 27+1

Mapping table

Every character represent 15 bits of data, except the last character 7 bits or 15 bits

Binary Unicode Unicode Range Name
15 bits mapping
0x0000 ~ 0x1935 U+3480 ~ U+4DB5 CJK Unified Ideographs Extension A
0x1936 ~ 0x545B U+4E00 ~ U+8925 CJK Unified Ideographs
0x545C ~ 0x7FFF U+AC00 ~ U+D7A3 Hangul Syllables
7 bits mapping
0x00 ~ 0x7F U+3400 ~ U+347F CJK Unified Ideographs Extension A

Usage

A simple usage example in dart:

import 'dart:convert';
import 'package:base2e15/base2e15.dart';

main() {
  String msg = 'Base2e15 is awesome!';
  String encoded = Base2e15.encode(UTF8.encode(msg));
  String decoded = UTF8.decode(Base2e15.decode(encoded));
}

Compare

Compare Base2e15 Base64
bits per character 15 6
bits per char width 7.5 (15/2) 6 (6/1)
bits per UTF8 byte 5 (15/3) 6 (6/1)
bits per UTF16 byte 7.5 (15/2) 3 (6/2)

Why not base2e16 ?

Unicode range CJK Unified Ideographs Extension B contains 42711 characters (U+20000 ~ U+2A6D6), together with the characters used by base2e15, there are more than 65536 usable characters to encode 16 bits in each character.

However, font support for CJK Unified Ideographs Extension B is missing in most mobile devices and using this code range will also readue the bits capacity in UTF8 and UTF16 encoding, since those characters require one more byte in UTF8 and 2 more bytes in UTF16.

Libraries

base2e15
The base2e15 library. Map 15 bits to unicode 0x0000 ~ 0x1935 -> U+3480 ~ U+4DB5 CJK Unified Ideographs Extension A 0x1936 ~ 0x545B -> U+4E00 ~ U+8925 CJK Unified Ideographs 0x545C ~ 0x7FFF -> U+AC00 ~ U+D7A3 Hangul Syllables 7 bits special case, only used by last character 0x00 ~ 0x7F -> U+3400 ~ U+347F CJK Unified Ideographs Extension A