Index-less Indexed Flash Code (ILIFC) is a coding scheme for flash memories in which one bit of a data sequence is stored in a slice consisting of several cells but the index of the bit is stored implicitly. Although several modified ILIFC schemes have been proposed, in this research we consider an ILIFC with inversion cells (I-ILIFC). The I-ILIFC reduces the total number of cell level changes at each write request. Computer simulation is used to show that the I-ILIFC improves the average performance of the ILIFC in many cases. This paper presents our derivation of the lower bound on the number of write operations by I-ILIFC and shows that the worst-case performance of the I-ILIFC is better than that of the ILIFC if the code length is sufficiently large. Additionally, we consider another lower bound thereon. The results show that the threshold of the code length that determines whether the I-ILIFC improves the worst-case performance of the ILIFC is lower than that in the first lower bound.

This paper shows a describing method of an image processing software in C for high-level synthesis (HLS) technology considering function chaining to realize an efficient hardware. A sophisticated image processing would be built on the sequence of several primitives represented as sub-functions like the gray scaling, filtering, binarization, thinning, and so on. Conventionally, generic describing methods for each sub-function so that HLS technology can generate an efficient hardware module have been shown. However, few studies have focused on a systematic describing method of the single top function consisting of the sub-functions chained. According to the proposed method, any number of sub-functions can be chained, maintaining the pipeline structure. Thus, the image processing can achieve the near ideal performance of 1 pixel per clock even when the processing chain is long. In addition, implicitly, the deadlock due to the mismatch of the number of pushes and pops on the FIFO connecting the functions is eliminated and the interpolation of the border pixels is done. The case study on a canny edge detection including the chain of some sub-functions demonstrates that our proposal can easily realize the expected hardware mentioned above. The experimental results on ZYNQ FPGA show that our proposal can be converted to the pipelined hardware with moderate size and achieve the performance gain of more than 70 times compared to the software execution. Moreover, the reconstructed C software program following our proposed method shows the small performance degradation of 8% compared with the pure C software through a comparative evaluation preformed on the Cortex A9 embedded processor in ZYNQ FPGA. This fact indicates that a unified image processing library using HLS software which can be executed on CPU or hardware module for HW/SW co-design can be established by using our proposed describing method.

In multilevel flash memory, in general, multiple read thresholds are required to read a single logical page. Random I/O (RIO) code, introduced by Sharon and Alrod, is a coding scheme that enables the reading of one logical page using a single read threshold. It was shown that the construction of RIO codes is equivalent to the construction of write-once memory (WOM) codes. Yaakobi and Motwani proposed a family of RIO codes, called parallel RIO (P-RIO) code, in which all logical pages are encoded in parallel. In this paper, we utilize coset coding with Hamming codes in order to construct P-RIO codes. Coset coding is a technique to construct WOM codes using linear binary codes. We leverage information on the data of all pages to encode each page. Our P-RIO codes, using which more pages can be stored than RIO codes constructed via coset coding, have parameters for which RIO codes do not exist.

Recent years have seen increasing efforts to improve the input/output performance of multilevel flash memory. In this regard, we propose a coding scheme for two-page unrestricted-rate parallel random input-output (P-RIO) code, which enables different code rates to be used for each page of multilevel memory. On the second page, the set of cell-state vectors for each message consists of two complementary vectors with length n. There are a total of 2n-1 sets that are disjoint to guarantee that they are uniquely decodable for 2n-1 messages. On the first page, the set of cell-state vectors for each message consists of all weight-u vectors with their non-zero elements restricted to the same (2u-1) positions, where the non-negative integer u is less than or equal to half of the code length. Finding cell-state vector sets such that they are disjoint on the first page is equivalent to the construction of constant-weight codes, and the number of disjoint sets is the best-known number of code words in the constant-weight codes. Our coding scheme is constructive, and the code length is arbitrary. The sum rates of our proposed codes are higher than those of previous work.