Information on Result #2799740
Linear OOA(3229, 14779, F3, 4, 32) (dual of [(14779, 4), 58887, 33]-NRT-code), using 31 times duplication based on linear OOA(3228, 14779, F3, 4, 32) (dual of [(14779, 4), 58888, 33]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3228, 59116, F3, 32) (dual of [59116, 58888, 33]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3226, 59114, F3, 32) (dual of [59114, 58888, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3161, 59049, F3, 25) (dual of [59049, 58888, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(315, 65, F3, 6) (dual of [65, 50, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3226, 59114, F3, 32) (dual of [59114, 58888, 33]-code), 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.