Information on Result #1728794
Digital (125, 149, 384612)-net over F8, using net defined by OOA based on linear OOA(8149, 384612, F8, 27, 24) (dual of [(384612, 27), 10384375, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8149, 1538449, F8, 3, 24) (dual of [(1538449, 3), 4615198, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8149, 1538452, F8, 3, 24) (dual of [(1538452, 3), 4615207, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8149, 1538452, F8, 24) (dual of [1538452, 1538303, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8149, 2097167, F8, 24) (dual of [2097167, 2097018, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8134, 2097152, F8, 22) (dual of [2097152, 2097018, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 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(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(8149, 2097167, F8, 24) (dual of [2097167, 2097018, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8149, 1538452, F8, 24) (dual of [1538452, 1538303, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(8149, 1538452, F8, 3, 24) (dual of [(1538452, 3), 4615207, 25]-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.