Information on Result #1298701
Linear OA(3151, 2242, F3, 29) (dual of [2242, 2091, 30]-code), using construction X with Varšamov bound based on
- linear OA(3148, 2236, F3, 29) (dual of [2236, 2088, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(3134, 2187, F3, 29) (dual of [2187, 2053, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(399, 2187, F3, 22) (dual of [2187, 2088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(314, 49, F3, 6) (dual of [49, 35, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(3148, 2239, F3, 28) (dual of [2239, 2091, 29]-code), using Gilbert–Varšamov bound and bm = 3148 > Vbs−1(k−1) = 29602 180140 054539 422572 711464 925107 258360 112917 730507 495880 529759 399225 [i]
- linear OA(30, 3, F3, 0) (dual of [3, 3, 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
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.