Information on Result #1728878
Digital (83, 108, 5349)-net over F8, using net defined by OOA based on linear OOA(8108, 5349, F8, 27, 25) (dual of [(5349, 27), 144315, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8108, 21397, F8, 3, 25) (dual of [(21397, 3), 64083, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8108, 21400, F8, 3, 25) (dual of [(21400, 3), 64092, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8108, 21400, F8, 25) (dual of [21400, 21292, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8108, 32777, F8, 25) (dual of [32777, 32669, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(8108, 32777, F8, 25) (dual of [32777, 32669, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8108, 21400, F8, 25) (dual of [21400, 21292, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(8108, 21400, F8, 3, 25) (dual of [(21400, 3), 64092, 26]-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.