Information on Result #1723550
Digital (68, 90, 665)-net over F5, using net defined by OOA based on linear OOA(590, 665, F5, 27, 22) (dual of [(665, 27), 17865, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(590, 2661, F5, 3, 22) (dual of [(2661, 3), 7893, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(590, 2663, F5, 3, 22) (dual of [(2663, 3), 7899, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(590, 2663, F5, 22) (dual of [2663, 2573, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(590, 3144, F5, 22) (dual of [3144, 3054, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- linear OA(586, 3125, F5, 22) (dual of [3125, 3039, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,5)), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(590, 3144, F5, 22) (dual of [3144, 3054, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(590, 2663, F5, 22) (dual of [2663, 2573, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(590, 2663, F5, 3, 22) (dual of [(2663, 3), 7899, 23]-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.