An error correction decoder possessing a decoding method with high error correction performance and capable of operating at a low operating frequency and on a reduced circuit scale. One approach entails receiving into a digital imaging system, a digital halftone image and a desired resizing factor for that digital halftone image. The cathode comprises a highly stable complex oxide LixNi1-y-zMnyMIzO2 and a highly conductive complex oxide Li8MII1-t-uMntMIIIuO2.