Information on Result #1117448
Linear OOA(3245, 6068492, F3, 5, 13) (dual of [(6068492, 5), 30342215, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(368, 2796449, F3, 5, 6) (dual of [(2796449, 5), 13982177, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(38, 248, F3, 5, 3) (dual of [(248, 5), 1232, 4]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(38, 248, F3, 3, 3) (dual of [(248, 3), 736, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(38, 248, F3, 2, 3) (dual of [(248, 2), 488, 4]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(38, 248, F3, 3, 3) (dual of [(248, 3), 736, 4]-NRT-code), using
- linear OOA(360, 2796201, F3, 5, 6) (dual of [(2796201, 5), 13980945, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), using
- linear OOA(38, 248, F3, 5, 3) (dual of [(248, 5), 1232, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3177, 3272043, F3, 5, 13) (dual of [(3272043, 5), 16360038, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(356, 1594323, F3, 5, 6) (dual of [(1594323, 5), 7971559, 7]-NRT-code), using
- OA 3-folding and stacking [i] 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
- OA 3-folding and stacking [i] based on linear OA(356, 4782969, F3, 6) (dual of [4782969, 4782913, 7]-code), using
- linear OOA(3121, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388479, 14]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 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 5-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-code), using
- linear OOA(356, 1594323, F3, 5, 6) (dual of [(1594323, 5), 7971559, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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.