Information on Result #1719160
Digital (107, 131, 2720)-net over F4, using net defined by OOA based on linear OOA(4131, 2720, F4, 27, 24) (dual of [(2720, 27), 73309, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4131, 10881, F4, 3, 24) (dual of [(10881, 3), 32512, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4131, 10881, F4, 24) (dual of [10881, 10750, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4131, 16409, F4, 24) (dual of [16409, 16278, 25]-code), using
- 1 times truncation [i] based on linear OA(4132, 16410, F4, 25) (dual of [16410, 16278, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- linear OA(4127, 16384, F4, 25) (dual of [16384, 16257, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(45, 26, F4, 3) (dual of [26, 21, 4]-code or 26-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- 1 times truncation [i] based on linear OA(4132, 16410, F4, 25) (dual of [16410, 16278, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(4131, 16409, F4, 24) (dual of [16409, 16278, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4131, 10881, F4, 24) (dual of [10881, 10750, 25]-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.