Information on Result #1059893
Linear OOA(3174, 2495734, F3, 4, 13) (dual of [(2495734, 4), 9982762, 14]-NRT-code), using OOA 2-folding based on linear OOA(3174, 4991468, F3, 2, 13) (dual of [(4991468, 2), 9982762, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3174, 4991469, F3, 2, 13) (dual of [(4991469, 2), 9982764, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(353, 797168, F3, 2, 6) (dual of [(797168, 2), 1594283, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(353, 1594336, F3, 6) (dual of [1594336, 1594283, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(353, 1594337, F3, 6) (dual of [1594337, 1594284, 7]-code), using
- 1 times truncation [i] based on linear OA(354, 1594338, F3, 7) (dual of [1594338, 1594284, 8]-code), using
- construction X4 applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(353, 1594323, F3, 7) (dual of [1594323, 1594270, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(340, 1594323, F3, 5) (dual of [1594323, 1594283, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(314, 15, F3, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using
- dual of repetition code with length 15 [i]
- linear OA(31, 15, F3, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(6) ⊂ Ce(4) [i] based on
- 1 times truncation [i] based on linear OA(354, 1594338, F3, 7) (dual of [1594338, 1594284, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(353, 1594337, F3, 6) (dual of [1594337, 1594284, 7]-code), using
- OOA 2-folding [i] based on linear OA(353, 1594336, F3, 6) (dual of [1594336, 1594283, 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(353, 797168, F3, 2, 6) (dual of [(797168, 2), 1594283, 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.