Information on Result #1183912
Digital (164, 177, 2195261)-net over F3, using net defined by OOA based on linear OOA(3177, 2195261, F3, 14, 13) (dual of [(2195261, 14), 30733477, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3177, 6585784, F3, 2, 13) (dual of [(6585784, 2), 13171391, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3177, 6585785, F3, 2, 13) (dual of [(6585785, 2), 13171393, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(356, 2391484, F3, 2, 6) (dual of [(2391484, 2), 4782912, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(356, 4782968, F3, 6) (dual of [4782968, 4782912, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(356, 4782969, F3, 6) (dual of [4782969, 4782913, 7]-code), using
- 1 times truncation [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(356, 4782969, F3, 6) (dual of [4782969, 4782913, 7]-code), using
- OOA 2-folding [i] based on linear OA(356, 4782968, F3, 6) (dual of [4782968, 4782912, 7]-code), using
- linear OOA(3121, 4194301, F3, 2, 13) (dual of [(4194301, 2), 8388481, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3121, 8388602, F3, 13) (dual of [8388602, 8388481, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- OOA 2-folding [i] based on linear OA(3121, 8388602, F3, 13) (dual of [8388602, 8388481, 14]-code), using
- linear OOA(356, 2391484, F3, 2, 6) (dual of [(2391484, 2), 4782912, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3177, 6585785, F3, 2, 13) (dual of [(6585785, 2), 13171393, 14]-NRT-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.