Information on Result #1729708
Digital (132, 162, 50312)-net over F8, using net defined by OOA based on linear OOA(8162, 50312, F8, 33, 30) (dual of [(50312, 33), 1660134, 31]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8162, 251561, F8, 3, 30) (dual of [(251561, 3), 754521, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8162, 251562, F8, 3, 30) (dual of [(251562, 3), 754524, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8162, 251562, F8, 30) (dual of [251562, 251400, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(8162, 262174, F8, 30) (dual of [262174, 262012, 31]-code), using
- construction XX applied to Ce(29) ⊂ Ce(25) ⊂ Ce(24) [i] based on
- linear OA(8157, 262144, F8, 30) (dual of [262144, 261987, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(84, 29, F8, 3) (dual of [29, 25, 4]-code or 29-cap in PG(3,8)), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(29) ⊂ Ce(25) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(8162, 262174, F8, 30) (dual of [262174, 262012, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8162, 251562, F8, 30) (dual of [251562, 251400, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(8162, 251562, F8, 3, 30) (dual of [(251562, 3), 754524, 31]-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.