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tokens: case, we use the HS(DD2) EOS described within the extended nuclear statistical equilibrium (NSE) model of Hempel Schaffner-Bielich ( 2010 ). It is expected that hyperons and/or (anti)kaons would not appear at low densities and low temperatures. In this situation, we compare the free energy per baryon at fixed n B , T , and Y q of the data of our uniform EOS table with those of the HS(DD2) EOS table. If the free energy of the HS(DD2) table is less than that of our EOS table, we replace the corresponding data of the latter with those of the former to get the final EOS table with Λ-hyperons and (anti)kaons. Furthermore, we impose the condition that hyperons and (anti)kaons are considered only when their fractions are > 10 −5 to avoid unphysical situations and ensure a smooth transition between low and high densities. Henceforth we call this merged EOS table 4 4 https://universe.bits-pilani.ac.in/Hyderabad/sbanik/EoS with Λ-hyperon and K − the BHBΛ K − φ EOS. Incidentally, we generated a similar EOS table (BHBΛ φ ) with Λ-hyperons following a similar procedure (Banik et al. 2014 ). 2.5. Accuracy and Consistency of the EOS Table The following consistency checks on the EOS table are performed. Thermodynamic consistency is achieved by the conditionwhere . The modulus of the relative thermodynamic accuracy in this EOS table is given byThe sum rule of particle fractions ( X i ) is satisfied by the EOS table given byFinally, the EOS table fulfills the thermodynamic stability criteria: 3. Results and Discussion The EOS table with thermal (anti)kaons and K − condensate is generated using the DD2 parameter set and for baryon densities ( n B = 10 −12 to ∼1 fm −3 ), temperatures ( T = 0.1–158.48 MeV), and positive charge fractions Y q ( n B ) = n p − n K ( Y q = 0.01–0.60). Grid spacing for baryon density is for temperature, ; and for positive charge fraction, Δ Y q = 0.01. The EOS table consists of 301 baryon density points, 81 temperatures, and 60 positive charge fractions, i.e., a total of 1 million data points. Before describing the thermodynamic quantities in the BHBΛ K − φ EOS table, we discuss the β -equilibrated matter relevant to cold NSs. We generate the EOS of NSs by imposing charge neutrality with the inclusion of electrons and the β -equilibrium condition without neutrinos at temperature T = 0. In Figure 1 (a), various particle fractions are plotted as a function of baryon number density. The NS core contains a high neutron fraction. The proton fraction increases monotonically as baryon density increases. The positive charges of protons are balanced by negative charges of electrons. Λ-hyperons appear at ∼2.2 n B followed by the K − condensate. The early appearance of Λ-hyperons makes the EOS softer, delaying the appearance of the antikaon condensate. The K − fraction in the condensate abundance reaches a considerable fraction at 3.5 n B . As soon as K − appears, the e − fraction drops and the charge neutrality is totally taken care of by the