Linear OA(8⁸⁷, 97, F₈, 61) (dual of [97, 10, 62]-code), using construction XX applied to C₁ = C({1,2,3,4,5,6,7,11,12,13,14,17,18,21,25,26,27,33,34,35,36,42,43}), C₂ = C({1,2,3,4,5,6,7,9,11,12,13,14,17,18,25,26,27,33,34,35,36,42}), C₃ = C₁ + C₂ = C({1,2,3,4,5,6,7,11,12,13,14,17,18,25,26,27,33,34,35,36,42}), and C_∩ = C₁ ∩ C₂ = C([1,43]) based on

1. linear OA(8⁶⁹, 73, F₈, 55) (dual of [73, 4, 56]-code), using the cyclic code C(A) with length 73 | 8³âˆ’1, defining set A = {1,2,3,4,5,6,7,11,12,13,14,17,18,21,25,26,27,33,34,35,36,42,43}, and minimum distance d ≥ |{10,11,…,64}|+1 = 56 (BCH-bound) [i]
2. linear OA(8⁶⁶, 73, F₈, 54) (dual of [73, 7, 55]-code), using the cyclic code C(A) with length 73 | 8³âˆ’1, defining set A = {1,2,3,4,5,6,7,9,11,12,13,14,17,18,25,26,27,33,34,35,36,42}, and minimum distance d ≥ |{−9,12,33,…,9}|+1 = 55 (BCH-bound) [i]
3. linear OA(8⁷², 73, F₈, 72) (dual of [73, 1, 73]-code or 73-arc in PG(71,8)), using the narrow-sense BCH-code C(I) with length 73 | 8³âˆ’1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 73 [i]
4. linear OA(8⁶³, 73, F₈, 45) (dual of [73, 10, 46]-code), using the cyclic code C(A) with length 73 | 8³âˆ’1, defining set A = {1,2,3,4,5,6,7,11,12,13,14,17,18,25,26,27,33,34,35,36,42}, and minimum distance d ≥ |{13,34,55,…,−12}|+1 = 46 (BCH-bound) [i]
5. linear OA(8⁸, 14, F₈, 7) (dual of [14, 6, 8]-code), using
   • extended algebraic-geometric code AG_e(F,6P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
     • F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
6. linear OA(8⁷, 10, F₈, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
   • Denniston code D(1,8) [i]