Information on Result #1117493
Linear OOA(3188, 1913200, F3, 5, 14) (dual of [(1913200, 5), 9565812, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(357, 1594323, F3, 5, 7) (dual of [(1594323, 5), 7971558, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [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]
- OOA 3-folding and stacking with additional row [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- linear OOA(3131, 956600, F3, 5, 14) (dual of [(956600, 5), 4782869, 15]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3131, 4783000, F3, 14) (dual of [4783000, 4782869, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3131, 4783001, F3, 14) (dual of [4783001, 4782870, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(3127, 4782969, F3, 14) (dual of [4782969, 4782842, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(399, 4782969, F3, 11) (dual of [4782969, 4782870, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(34, 32, F3, 2) (dual of [32, 28, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(3131, 4783001, F3, 14) (dual of [4783001, 4782870, 15]-code), using
- OOA 5-folding [i] based on linear OA(3131, 4783000, F3, 14) (dual of [4783000, 4782869, 15]-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.