Information on Result #1612678
Linear OOA(3245, 3289, F3, 4, 47) (dual of [(3289, 4), 12911, 48]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3245, 3289, F3, 47) (dual of [3289, 3044, 48]-code), using
- construction X applied to Ce(46) ⊂ Ce(45) [i] based on
- linear OA(3245, 3281, F3, 47) (dual of [3281, 3036, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3237, 3281, F3, 46) (dual of [3281, 3044, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(30, 8, F3, 0) (dual of [8, 8, 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.