Information on Result #1194460
Digital (121, 144, 434817)-net over F9, using net defined by OOA based on linear OOA(9144, 434817, F9, 23, 23) (dual of [(434817, 23), 10000647, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(9144, 4782988, F9, 23) (dual of [4782988, 4782844, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(9144, 4782993, F9, 23) (dual of [4782993, 4782849, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(19) [i] based on
- linear OA(9141, 4782969, F9, 23) (dual of [4782969, 4782828, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(22) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(9144, 4782993, F9, 23) (dual of [4782993, 4782849, 24]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.