Information on Result #1298661
Linear OA(3147, 166, F3, 76) (dual of [166, 19, 77]-code), using construction X with Varšamov bound based on
- linear OA(3141, 159, F3, 76) (dual of [159, 18, 77]-code), using
- 7 times truncation [i] based on linear OA(3148, 166, F3, 83) (dual of [166, 18, 84]-code), using
- construction X applied to Ce(82) ⊂ Ce(81) [i] based on
- linear OA(3148, 165, F3, 83) (dual of [165, 17, 84]-code), using an extension Ce(82) of the narrow-sense BCH-code C(I) with length 164 | 38−1, defining interval I = [1,82], and designed minimum distance d ≥ |I|+1 = 83 [i]
- linear OA(3147, 165, F3, 82) (dual of [165, 18, 83]-code), using an extension Ce(81) of the narrow-sense BCH-code C(I) with length 164 | 38−1, defining interval I = [1,81], and designed minimum distance d ≥ |I|+1 = 82 [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(82) ⊂ Ce(81) [i] based on
- 7 times truncation [i] based on linear OA(3148, 166, F3, 83) (dual of [166, 18, 84]-code), using
- linear OA(3141, 160, F3, 70) (dual of [160, 19, 71]-code), using Gilbert–Varšamov bound and bm = 3141 > Vbs−1(k−1) = 10 922445 311837 746172 936774 426778 475418 559695 814607 993260 989738 510379 [i]
- linear OA(35, 6, F3, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,3)), using
- dual of repetition code with length 6 [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.