As a special subclass of cyclic codes, BCH codes are usually among the best cyclic codes and have wide applications in communication and storage systems and consumer electronics. Let$\mathcal C$be a$q^{2}$-ary BCH code of length$n$with respect to an$n$-th primitive root of unity$\beta $over an extension field of$\Bbb F_{q^{2}}$, and let$\mathcal C^{\perp H}$denote its Hermitian dual code, where$q$is a prime power. If both$\mathcal {C}$and$\mathcal C^{\perp H}$are a BCH code with respect to an$n$-th primitive root of unity$\beta $, then$\mathcal C$is called aHermitian dually-BCH code. The objective of this paper is to derive a necessary and sufficient condition for ensuring that two classes of narrow-sense BCH codes are Hermitian dually-BCH codes. As by-products, lower bounds on the minimum distances of the Hermitian dual codes of these BCH codes are developed, which improve the lower bounds documented in IEEE Trans. Inf. Theory, vol. 68, no. 2, pp. 953-964, 2022, in some cases.

MOTIVATION: Lipid, an essential class of biomolecules, is receiving increasing attention in the research community, especially with the development of analytical technique like mass spectrometry. Gene Ontology (GO) is the de facto standard function annotation scheme for gene products. Identification of both explicit and implicit lipid-related GO terms will help lipid research in many ways, e.g. assigning lipid function in protein function prediction. RESULTS: We have constructed a Web site 'LipidGO' that facilitates browsing and searching lipid-related GO terms. An expandable hierarchical GO tree is constructed that allows users to find lipid-related GO terms easily. To support large-scale analysis, a user is able to upload a list of gene products or a list of GO terms to find out which of them is lipid related. Finally, we demonstrate the usefulness of 'LipidGO' by two applications: (i) identifying lipid-related gene products in model organisms and (ii) discovering potential novel lipid-related molecular functions AVAILABILITY AND IMPLEMENTATION: LipidGO is available at http://compbio.ddns.comp.nus.edu.sg/%7elipidgo/index.php.