Information on Result #1730268
Digital (121, 157, 4481)-net over F8, using net defined by OOA based on linear OOA(8157, 4481, F8, 39, 36) (dual of [(4481, 39), 174602, 37]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(8157, 26887, F8, 3, 36) (dual of [(26887, 3), 80504, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8157, 26892, F8, 3, 36) (dual of [(26892, 3), 80519, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8157, 26892, F8, 36) (dual of [26892, 26735, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(8157, 32779, F8, 36) (dual of [32779, 32622, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(33) [i] based on
- linear OA(8156, 32768, F8, 36) (dual of [32768, 32612, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8146, 32768, F8, 34) (dual of [32768, 32622, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 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(35) ⊂ Ce(33) [i] based on
- discarding factors / shortening the dual code based on linear OA(8157, 32779, F8, 36) (dual of [32779, 32622, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8157, 26892, F8, 36) (dual of [26892, 26735, 37]-code), using
- discarding factors / shortening the dual code based on linear OOA(8157, 26892, F8, 3, 36) (dual of [(26892, 3), 80519, 37]-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.