Information on Result #1298627
Linear OA(3141, 160, F3, 72) (dual of [160, 19, 73]-code), using construction X with Varšamov bound based on
- linear OA(3137, 155, F3, 72) (dual of [155, 18, 73]-code), using
- 11 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
- 11 times truncation [i] based on linear OA(3148, 166, F3, 83) (dual of [166, 18, 84]-code), using
- linear OA(3137, 156, F3, 68) (dual of [156, 19, 69]-code), using Gilbert–Varšamov bound and bm = 3137 > Vbs−1(k−1) = 166060 662677 727366 264861 631448 545696 073666 045009 348692 845624 073659 [i]
- linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2, 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.