Information on Result #2485705
Linear OOA(3158, 4783026, F3, 2, 12) (dual of [(4783026, 2), 9565894, 13]-NRT-code), using 31 times duplication based on linear OOA(3157, 4783026, F3, 2, 12) (dual of [(4783026, 2), 9565895, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(313, 42, F3, 2, 6) (dual of [(42, 2), 71, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 13, 42)-net over F3, using
- linear OOA(3144, 4782984, F3, 2, 12) (dual of [(4782984, 2), 9565824, 13]-NRT-code), using
- trace code [i] based on linear OOA(972, 2391492, F9, 2, 12) (dual of [(2391492, 2), 4782912, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(972, 4782984, F9, 12) (dual of [4782984, 4782912, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- OOA 2-folding [i] based on linear OA(972, 4782984, F9, 12) (dual of [4782984, 4782912, 13]-code), using
- trace code [i] based on linear OOA(972, 2391492, F9, 2, 12) (dual of [(2391492, 2), 4782912, 13]-NRT-code), using
- linear OOA(313, 42, F3, 2, 6) (dual of [(42, 2), 71, 7]-NRT-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.