Information on Result #2297046
Linear OA(3211, 244, F3, 105) (dual of [244, 33, 106]-code), using strength reduction based on linear OA(3211, 244, F3, 107) (dual of [244, 33, 108]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3197, 229, F3, 107) (dual of [229, 32, 108]-code), using
- 15 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- construction X applied to Ce(121) ⊂ Ce(120) [i] based on
- linear OA(3212, 243, F3, 122) (dual of [243, 31, 123]-code), using an extension Ce(121) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,121], and designed minimum distance d ≥ |I|+1 = 122 [i]
- linear OA(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using an extension Ce(120) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(121) ⊂ Ce(120) [i] based on
- 15 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3197, 230, F3, 93) (dual of [230, 33, 94]-code), using Gilbert–Varšamov bound and bm = 3197 > Vbs−1(k−1) = 4000 979698 498903 703974 379974 627830 156251 586804 193905 975287 749072 663990 951920 050034 774163 523955 [i]
- linear OA(313, 14, F3, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,3)), using
- dual of repetition code with length 14 [i]
- linear OA(3197, 229, F3, 107) (dual of [229, 32, 108]-code), using
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.
Other Results with Identical Parameters
None.
Depending Results
None.