Information on Result #1299528
Linear OA(3228, 6621, F3, 40) (dual of [6621, 6393, 41]-code), using construction X with Varšamov bound based on
- linear OA(3225, 6617, F3, 40) (dual of [6617, 6392, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(31) [i] based on
- linear OA(3209, 6561, F3, 40) (dual of [6561, 6352, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(316, 56, F3, 7) (dual of [56, 40, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(39) ⊂ Ce(31) [i] based on
- linear OA(3225, 6618, F3, 37) (dual of [6618, 6393, 38]-code), using Gilbert–Varšamov bound and bm = 3225 > Vbs−1(k−1) = 58899 517156 108483 492554 175607 773936 716521 921658 582300 773638 083452 832376 915797 667117 995230 080950 375226 813347 [i]
- linear OA(32, 3, F3, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,3)), using
- dual of repetition code with length 3 [i]
- Reed–Solomon code RS(1,3) [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.
Other Results with Identical Parameters
None.
Depending Results
None.