Information on Result #1723294
Digital (64, 84, 785)-net over F5, using net defined by OOA based on linear OOA(584, 785, F5, 27, 20) (dual of [(785, 27), 21111, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(584, 3141, F5, 3, 20) (dual of [(3141, 3), 9339, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(584, 3143, F5, 3, 20) (dual of [(3143, 3), 9345, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(584, 3143, F5, 20) (dual of [3143, 3059, 21]-code), using
- 1 times truncation [i] based on linear OA(585, 3144, F5, 21) (dual of [3144, 3059, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- linear OA(581, 3125, F5, 21) (dual of [3125, 3044, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(20) ⊂ Ce(16) [i] based on
- 1 times truncation [i] based on linear OA(585, 3144, F5, 21) (dual of [3144, 3059, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(584, 3143, F5, 20) (dual of [3143, 3059, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(584, 3143, F5, 3, 20) (dual of [(3143, 3), 9345, 21]-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.