Information on Result #1299588
Linear OA(3237, 6623, F3, 41) (dual of [6623, 6386, 42]-code), using construction X with Varšamov bound based on
- linear OA(3231, 6614, F3, 41) (dual of [6614, 6383, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(33) [i] based on
- linear OA(3217, 6561, F3, 41) (dual of [6561, 6344, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- construction X applied to Ce(40) ⊂ Ce(33) [i] based on
- linear OA(3231, 6617, F3, 38) (dual of [6617, 6386, 39]-code), using Gilbert–Varšamov bound and bm = 3231 > Vbs−1(k−1) = 20 836756 098168 935742 574021 691350 297006 765836 005479 718043 780725 784632 692748 404992 065101 187705 335330 327357 907937 [i]
- linear OA(33, 6, F3, 2) (dual of [6, 3, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-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.