Information on Result #1302486
Linear OA(865, 82, F8, 43) (dual of [82, 17, 44]-code), using construction X with Varšamov bound based on
- linear OA(862, 78, F8, 43) (dual of [78, 16, 44]-code), using
- construction X applied to Ce(44) ⊂ Ce(35) [i] based on
- 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(848, 64, F8, 36) (dual of [64, 16, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(87, 14, F8, 6) (dual of [14, 7, 7]-code), using
- extended algebraic-geometric code AGe(F,7P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- construction X applied to Ce(44) ⊂ Ce(35) [i] based on
- linear OA(862, 79, F8, 40) (dual of [79, 17, 41]-code), using Gilbert–Varšamov bound and bm = 862 > Vbs−1(k−1) = 28 724825 028062 150433 700158 785665 450747 886929 698317 046024 [i]
- linear OA(82, 3, F8, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,8)), using
- dual of repetition code with length 3 [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.