Evaluate the Shards - Erasure Codes Rebuild a Missing Number

Each shard is one exact evaluation of the pinned line.

highlighted = computed this step

Evaluate at pinned x values

The book pins four x positions and evaluates the same line at each position.

\text{evaluate pinned positions}

At x equals 0, the value is 2. At x equals 1, the value is 0.

f(0)=2,\quad f(1)=0

At x equals 2, the value is 3. At x equals 3, the value is 1.

f(2)=3,\quad f(3)=1

The shard values are exact field evaluations: 2, 0, 3, 1.

\text{shards are exact evaluations}