A data processing apparatus, a method of operating a data processing apparatus, a non-transitory computer readable storage medium, and an instruction are provided. The instruction specifies a first source register, a second source register, and an index. In response to the instruction control signals are generated, causing processing circuitry to perform a data processing operation with respect to each data group in the first source register and the second source register to generate respective result data groups forming a result of the data processing operation. Each of the first source register and the second source register has a size which is an integer multiple at least twice a predefined size of the data group, and each data group comprises a plurality of data elements. The operands of the data processing operation for each data group are a selected data element identified in the data group of the first source register by the index and each data element in the data group of the second source register. A technique for element-by-vector operation which is readily scalable as the register width grows.