Information on Result #2485949
Linear OOA(3177, 4782992, F3, 2, 14) (dual of [(4782992, 2), 9565807, 15]-NRT-code), using 31 times duplication based on linear OOA(3176, 4782992, F3, 2, 14) (dual of [(4782992, 2), 9565808, 15]-NRT-code), using
- trace code [i] based on linear OOA(988, 2391496, F9, 2, 14) (dual of [(2391496, 2), 4782904, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(988, 4782992, F9, 14) (dual of [4782992, 4782904, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(988, 4782993, F9, 14) (dual of [4782993, 4782905, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(93, 24, F9, 2) (dual of [24, 21, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(988, 4782993, F9, 14) (dual of [4782993, 4782905, 15]-code), using
- OOA 2-folding [i] based on linear OA(988, 4782992, F9, 14) (dual of [4782992, 4782904, 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.