Information on Result #1117600
Linear OOA(3180, 1678451, F3, 5, 15) (dual of [(1678451, 5), 8392075, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(330, 731, F3, 5, 7) (dual of [(731, 5), 3625, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(330, 2194, F3, 7) (dual of [2194, 2164, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(330, 2195, F3, 7) (dual of [2195, 2165, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(329, 2187, F3, 7) (dual of [2187, 2158, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(322, 2187, F3, 5) (dual of [2187, 2165, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(330, 2195, F3, 7) (dual of [2195, 2165, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(330, 2194, F3, 7) (dual of [2194, 2164, 8]-code), using
- linear OOA(3150, 1677720, F3, 5, 15) (dual of [(1677720, 5), 8388450, 16]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3150, 8388600, F3, 15) (dual of [8388600, 8388450, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- OOA 5-folding [i] based on linear OA(3150, 8388600, F3, 15) (dual of [8388600, 8388450, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.