Elliptic curve cryptography replaced RSA for nearly every modern protocol because it delivers the same security with a fraction of the key size and the compute. We walk what an elliptic curve actually is, why the discrete-log problem on a curve is hard, the genuine differences between P-256 and Curve25519 politically and technically, how signing differs from key exchange, and which curve belongs in which job in 2026.
Ecc
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Elliptic Curve Cryptography for the Curious Engineer -
ECC for Flash: Hamming to LDPC Raw NAND ships with thousands of bit errors per page and would be unusable without error correction. This is the story of how ECC evolved from single-bit Hamming through BCH to soft-decision LDPC, what "soft bits" physically are, and the UBER math that turns a noisy die into a reliability promise.