Information on Result #1733294
Digital (81, 112, 1307)-net over F9, using net defined by OOA based on linear OOA(9112, 1307, F9, 33, 31) (dual of [(1307, 33), 43019, 32]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(9112, 6536, F9, 3, 31) (dual of [(6536, 3), 19496, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9112, 6537, F9, 3, 31) (dual of [(6537, 3), 19499, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9112, 6537, F9, 31) (dual of [6537, 6425, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(9112, 6576, F9, 31) (dual of [6576, 6464, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- linear OA(9109, 6561, F9, 31) (dual of [6561, 6452, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(997, 6561, F9, 28) (dual of [6561, 6464, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(93, 15, F9, 2) (dual of [15, 12, 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(30) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(9112, 6576, F9, 31) (dual of [6576, 6464, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9112, 6537, F9, 31) (dual of [6537, 6425, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(9112, 6537, F9, 3, 31) (dual of [(6537, 3), 19499, 32]-NRT-code), using
Mode: 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.