Information on Result #1729136
Digital (137, 163, 349259)-net over F8, using net defined by OOA based on linear OOA(8163, 349259, F8, 33, 26) (dual of [(349259, 33), 11525384, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8163, 1746296, F8, 3, 26) (dual of [(1746296, 3), 5238725, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8163, 1746299, F8, 3, 26) (dual of [(1746299, 3), 5238734, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8163, 1746299, F8, 26) (dual of [1746299, 1746136, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(8163, 2097195, F8, 26) (dual of [2097195, 2097032, 27]-code), using
- 1 times code embedding in larger space [i] based on linear OA(8162, 2097194, F8, 26) (dual of [2097194, 2097032, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(8155, 2097152, F8, 26) (dual of [2097152, 2096997, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(87, 42, F8, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(8162, 2097194, F8, 26) (dual of [2097194, 2097032, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(8163, 2097195, F8, 26) (dual of [2097195, 2097032, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8163, 1746299, F8, 26) (dual of [1746299, 1746136, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(8163, 1746299, F8, 3, 26) (dual of [(1746299, 3), 5238734, 27]-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.