Information on Result #976648
Linear OOA(732, 18, F7, 3, 20) (dual of [(18, 3), 22, 21]-NRT-code), using OOA 3-folding based on linear OA(732, 54, F7, 20) (dual of [54, 22, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(731, 49, F7, 20) (dual of [49, 18, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(727, 49, F7, 18) (dual of [49, 22, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(71, 5, F7, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and 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.