Information on Result #1302540
Linear OA(874, 84, F8, 54) (dual of [84, 10, 55]-code), using construction X with Varšamov bound based on
- linear OA(869, 78, F8, 54) (dual of [78, 9, 55]-code), using
- construction X applied to Ce(53) ⊂ Ce(44) [i] based on
- linear OA(860, 64, F8, 54) (dual of [64, 4, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(855, 64, F8, 45) (dual of [64, 9, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(89, 14, F8, 8) (dual of [14, 5, 9]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- construction X applied to Ce(53) ⊂ Ce(44) [i] based on
- linear OA(869, 79, F8, 49) (dual of [79, 10, 50]-code), using Gilbert–Varšamov bound and bm = 869 > Vbs−1(k−1) = 161 439814 126758 842565 585956 062294 145534 884108 370747 775296 392564 [i]
- linear OA(84, 5, F8, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,8)), using
- dual of repetition code with length 5 [i]
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.