Information on Result #895126
Linear OOA(3174, 4194429, F3, 2, 15) (dual of [(4194429, 2), 8388684, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(324, 128, F3, 2, 7) (dual of [(128, 2), 232, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(324, 256, F3, 7) (dual of [256, 232, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(321, 243, F3, 7) (dual of [243, 222, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(311, 243, F3, 4) (dual of [243, 232, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- OOA 2-folding [i] based on linear OA(324, 256, F3, 7) (dual of [256, 232, 8]-code), using
- linear OOA(3150, 4194301, F3, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 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 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 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.