Linear OA(3⁹², 101, F₃, 55) (dual of [101, 9, 56]-code), using construction XX applied to C₁ = C({0,1,2,4,5,7,8,10,11,13,14,16,17,20,22,23,25,26,40,41,53}), C₂ = C([0,44]), C₃ = C₁ + C₂ = C([0,41]), and C_∩ = C₁ ∩ C₂ = C({0,1,2,4,5,7,8,10,11,13,14,16,17,20,22,23,25,26,40,41,44,53}) based on

1. linear OA(3⁷⁴, 80, F₃, 47) (dual of [80, 6, 48]-code), using the primitive cyclic code C(A) with length 80 = 3⁴−1, defining set A = {0,1,2,4,5,7,8,10,11,13,14,16,17,20,22,23,25,26,40,41,53}, and minimum distance d ≥ |{1,14,27,…,39}|+1 = 48 (BCH-bound) [i]
2. linear OA(3⁷⁴, 80, F₃, 50) (dual of [80, 6, 51]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 3⁴−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 51 [i]
3. linear OA(3⁷⁸, 80, F₃, 59) (dual of [80, 2, 60]-code), using the primitive cyclic code C(A) with length 80 = 3⁴−1, defining set A = {0,1,2,4,5,7,8,10,11,13,14,16,17,20,22,23,25,26,40,41,44,53}, and minimum distance d ≥ |{3,16,29,…,37}|+1 = 60 (BCH-bound) [i]
4. linear OA(3⁷⁰, 80, F₃, 44) (dual of [80, 10, 45]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 3⁴−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 45 [i]
5. linear OA(3⁵, 9, F₃, 4) (dual of [9, 4, 5]-code), using
   • discarding factors / shortening the dual code based on linear OA(3⁵, 11, F₃, 4) (dual of [11, 6, 5]-code), using
     • Golay code G(3) [i]
6. linear OA(3⁹, 12, F₃, 7) (dual of [12, 3, 8]-code), using
   • 1 times truncation [i] based on linear OA(3¹⁰, 13, F₃, 8) (dual of [13, 3, 9]-code), using
     • Simplex code S(3,3) [i]
     • the expurgated narrow-sense BCH-code C(I) with length 13 | 3³âˆ’1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]