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  2. Computation of cyclic redundancy checks - Wikipedia

    en.wikipedia.org/wiki/Computation_of_cyclic...

    big_endian_table[0] := 0 crc := 0x8000 // Assuming a 16-bit polynomial i := 1 do { if crc and 0x8000 { crc := (crc leftShift 1) xor 0x1021 // The CRC polynomial} else { crc := crc leftShift 1 } // crc is the value of big_endian_table[i]; let j iterate over the already-initialized entries for j from 0 to i−1 { big_endian_table[i + j] := crc ...

  3. Cyclic redundancy check - Wikipedia

    en.wikipedia.org/wiki/Cyclic_redundancy_check

    The advantage of choosing a primitive polynomial as the generator for a CRC code is that the resulting code has maximal total block length in the sense that all 1-bit errors within that block length have different remainders (also called syndromes) and therefore, since the remainder is a linear function of the block, the code can detect all 2 ...

  4. List of hash functions - Wikipedia

    en.wikipedia.org/wiki/List_of_hash_functions

    Length Type BLAKE-256: 256 bits HAIFA structure [17] BLAKE-512: 512 bits HAIFA structure [17] BLAKE2s: up to 256 bits HAIFA structure [17] BLAKE2b: up to 512 bits HAIFA structure [17] BLAKE2X: arbitrary HAIFA structure, [17] extendable-output functions (XOFs) design [18] BLAKE3: arbitrary Merkle tree: ECOH: 224 to 512 bits hash FSB: 160 to 512 ...

  5. Data structure - Wikipedia

    en.wikipedia.org/wiki/Data_structure

    A data structure known as a hash table.. In computer science, a data structure is a data organization and storage format that is usually chosen for efficient access to data. [1] [2] [3] More precisely, a data structure is a collection of data values, the relationships among them, and the functions or operations that can be applied to the data, [4] i.e., it is an algebraic structure about data.

  6. Comparison of data structures - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_data_structures

    Here are time complexities [5] of various heap data structures. The abbreviation am. indicates that the given complexity is amortized, otherwise it is a worst-case complexity. For the meaning of "O(f)" and "Θ(f)" see Big O notation. Names of operations assume a max-heap.

  7. Mathematics of cyclic redundancy checks - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_cyclic...

    The cyclic redundancy check (CRC) is a check of the remainder after division in the ring of polynomials over GF(2) (the finite field of integers modulo 2). That is, the set of polynomials where each coefficient is either zero or one, and arithmetic operations wrap around.

  8. Hash collision - Wikipedia

    en.wikipedia.org/wiki/Hash_collision

    The hash value in this case is derived from a hash function which takes a data input and returns a fixed length of bits. [ 2 ] Although hash algorithms, especially cryptographic hash algorithms, have been created with the intent of being collision resistant , they can still sometimes map different data to the same hash (by virtue of the ...

  9. Wadler criticized in particular the lack of pattern matching, obscuring equational reasoning and making the teaching of proofs harder; the lack of algebraic data types in Scheme and the over-reliance on cons pairs for both code and data representation, which can confuse beginning students; and the choice of strict instead of lazy evaluation as ...

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