Information on Result #1714280
Digital (154, 173, 597874)-net over F3, using net defined by OOA based on linear OOA(3173, 597874, F3, 25, 19) (dual of [(597874, 25), 14946677, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3173, 1195749, F3, 5, 19) (dual of [(1195749, 5), 5978572, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3173, 1195750, F3, 5, 19) (dual of [(1195750, 5), 5978577, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3173, 1195750, F3, 4, 19) (dual of [(1195750, 4), 4782827, 20]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3173, 4783000, F3, 19) (dual of [4783000, 4782827, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3173, 4783001, F3, 19) (dual of [4783001, 4782828, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(3169, 4782969, F3, 19) (dual of [4782969, 4782800, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3141, 4782969, F3, 16) (dual of [4782969, 4782828, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(34, 32, F3, 2) (dual of [32, 28, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(3173, 4783001, F3, 19) (dual of [4783001, 4782828, 20]-code), using
- OOA 4-folding [i] based on linear OA(3173, 4783000, F3, 19) (dual of [4783000, 4782827, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3173, 1195750, F3, 4, 19) (dual of [(1195750, 4), 4782827, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3173, 1195750, F3, 5, 19) (dual of [(1195750, 5), 5978577, 20]-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.