Information on Result #1010450
Linear OOA(3102, 3188658, F3, 3, 8) (dual of [(3188658, 3), 9565872, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(328, 2391485, F3, 3, 4) (dual of [(2391485, 3), 7174427, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (24, 28, 2391485)-net over F3, using
- linear OOA(374, 1594329, F3, 3, 8) (dual of [(1594329, 3), 4782913, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(374, 4782987, F3, 8) (dual of [4782987, 4782913, 9]-code), using
- 2 times code embedding in larger space [i] based on linear OA(372, 4782985, F3, 8) (dual of [4782985, 4782913, 9]-code), using
- construction X4 applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(371, 4782969, F3, 8) (dual of [4782969, 4782898, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(357, 4782969, F3, 7) (dual of [4782969, 4782912, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(315, 16, F3, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,3)), using
- dual of repetition code with length 16 [i]
- linear OA(31, 16, F3, 1) (dual of [16, 15, 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(7) ⊂ Ce(6) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(372, 4782985, F3, 8) (dual of [4782985, 4782913, 9]-code), using
- OOA 3-folding [i] based on linear OA(374, 4782987, F3, 8) (dual of [4782987, 4782913, 9]-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.