Information on Result #1728668
Digital (61, 85, 904)-net over F8, using net defined by OOA based on linear OOA(885, 904, F8, 27, 24) (dual of [(904, 27), 24323, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(885, 3617, F8, 3, 24) (dual of [(3617, 3), 10766, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(885, 3617, F8, 24) (dual of [3617, 3532, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(885, 4100, F8, 24) (dual of [4100, 4015, 25]-code), using
- 1 times truncation [i] based on linear OA(886, 4101, F8, 25) (dual of [4101, 4015, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(885, 4096, F8, 25) (dual of [4096, 4011, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(881, 4096, F8, 23) (dual of [4096, 4015, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(81, 5, F8, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(886, 4101, F8, 25) (dual of [4101, 4015, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(885, 4100, F8, 24) (dual of [4100, 4015, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(885, 3617, F8, 24) (dual of [3617, 3532, 25]-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.