Representation of Information : Coding Theory and Cryptography C. L. Liu National Tsing Hua University
Representation of Information Efficiency : Data Compression Reliability : Algebraic Coding Theory Security : Cryptography
Representation of Information : Efficiency Block Code 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 ..… ……… 1 1 1 1 1 1 1 1 1
Representation of Information : Efficiency Variable Length Code 00 , 101 , 1100, ……
Representation of Information : Efficiency Frequency Count
Representation of Information : Efficiency Morse Code
Representation of Information : Efficiency Huffman Code “A Method for the Construction of Minimum- Redundancy Codes”, David A. Huffman, Proc. IRE, 1952. 18 7 3 4 5 12 6 11 Huffman Code
Representation of Information : Efficiency Run Length Code 11100000000000111111000111 ……
Representation of Information : Efficiency Data Compression : Lossless Compression Winzip Lemple Ziv Algorithm
Representation of Information : Efficiency Data Compression : Lossy Compression MPEG JPEG
Representation of Information : Efficiency Abbreviation Dear Prof. C.: Pls ack rcpt of IOU fr UCLA CS Chair ASAP. Thx & Merry Xmas. GWB, Jr.
Representation of Information : Efficiency 文言文 母病速歸 母親生病了 趕快回家
Representation of Information : Efficiency 簡體字 陽 阳 陰 阴 塵 尘
Representation of Information : Efficiency 火星文 3Q AV8D 246 PMPMP 5201314 Orz Thank you Everybody 餓死了 拼命拍馬屁 我愛你一生一世 佩服至五體投地
Representation of Information : Efficiency Compression – MP3 清明時節雨紛紛 路上行人欲斷魂 借問酒家何處有 牧童遙指杏花村 時節雨紛紛 行人欲斷魂 酒家何處有 遙指杏花村
Representation of Information : Efficiency Compression 日暖看三織 風高斗兩廂 蛙翻白出濶 蚓死紫之長 潑聽琵梧鳳 饅抛接建章 歸來家中坐 打殺又何妨 某日天氣晴朗,我在曬太陽時,見三隻蜘蛛在檐 間結網。斗然兩廂房吹過一陣猛風。 我出門的時候看到一隻死蛙,白肚皮向上,四肢 伸著像個出字。 在牠旁邊有條紫色的死蚯蚓,長長的在地上曲折 成個之字。 我回家吃泡飯,忽然鄰居在彈琵琶,彈的是鳳棲 梧,我一疏忽,把泡飯潑了一半。 接著我吃饅頭,這時建安的章秀才來訪,我拋開 饅頭,去接章秀才,和章秀才談了一陣。 送客後回到房裡坐下。 看到牆上的鍾馗捉鬼圖,看到鬼的醜臉,我不禁 說道,打死他又何妨。
Representation of Information : Efficiency Data Compression - MPEG 去年元夜時 花市燈如晝 月上柳梢頭 人約黃昏後 今年元夜時 月與燈依舊 不見去年人 淚濕春衫袖
Representation of Information : Efficiency 典故 燕瘦環肥 趙飛燕 楊玉環 素口蠻腰 櫻桃樊素口 楊柳小蠻腰
Representation of Information : Efficiency 寓言 Aesop’s Fables The Shepherd Boy and the Wolf. (He is only crying wolf) The Hare and the Tortoise. (I am only the tortoise.)
Representation of Information Efficiency : Data Compression Reliability : Algebraic Coding Theory Security : Cryptography
Representation of Information : Reliability 0 , 1 00 , 11 00 00, 01, 10 11 11, 10, 01 000 , 111 000 000, 001, 010, 100 111 111, 110, 101, 011
Representation of Information : Reliability 0 , 1 00 , 11 000 , 111 Repetition Distance
Representation of Information : Reliability Repetition 疊字 尋尋覓覓,冷冷清清,淒淒慘慘戚戚。 乍暖還寒時候,最難將息。 三杯兩盞淡酒,怎敵他,晚來風急。 雁過也,正傷心,卻是舊時相識。 滿地黃花堆積,憔悴損,如今有誰堪摘。 守著窗兒,獨自怎生得黑, 梧桐更兼細雨,到黃昏,點點滴滴。 這次第,怎一個愁字了得。 聲聲慢 李清照
Representation of Information : Reliability Repetition 疊字 紫紫紅紅處處鶯鶯燕燕 風風雨雨年年暮暮朝朝
Representation of Information : Reliability Repetition 疊詞 作牛作馬 鬼斧神工 犬馬之勞
Representation of Information : Reliability Distance O 一 二 三 四 五 六 七 八 九 零 壹 貳 參 肆 伍 陸 柒 捌 玫 洞 么 兩 拐 勾
Representation of Information : Reliability Distance 傳位于四太子 傳位十四太子
Representation of Information : Reliability Distance Able Baker Charlie ……
Representation of Information : Reliability Distance PUN Focus Focus is where the sun’s rays meet. Focus is where the sons raise meat.
Representation of Information : Security See you next year.