Information on Result #1117439
Linear OOA(3233, 4866366, F3, 5, 13) (dual of [(4866366, 5), 24331597, 14]-NRT-code), using (u, u+v)-construction 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(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) (see above)
- 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
- (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.