Information on Result #1117868
Linear OOA(3249, 1679036, F3, 5, 20) (dual of [(1679036, 5), 8394931, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(353, 1316, F3, 5, 10) (dual of [(1316, 5), 6527, 11]-NRT-code), using
- OOA 5-folding [i] based on linear OA(353, 6580, F3, 10) (dual of [6580, 6527, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(353, 6581, F3, 10) (dual of [6581, 6528, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(333, 6561, F3, 7) (dual of [6561, 6528, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(34, 20, F3, 2) (dual of [20, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(353, 6581, F3, 10) (dual of [6581, 6528, 11]-code), using
- OOA 5-folding [i] based on linear OA(353, 6580, F3, 10) (dual of [6580, 6527, 11]-code), using
- linear OOA(3196, 1677720, F3, 5, 20) (dual of [(1677720, 5), 8388404, 21]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3196, 8388600, F3, 20) (dual of [8388600, 8388404, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- OOA 5-folding [i] based on linear OA(3196, 8388600, F3, 20) (dual of [8388600, 8388404, 21]-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.