Information on Result #1718582
Digital (91, 111, 3003)-net over F4, using net defined by OOA based on linear OOA(4111, 3003, F4, 27, 20) (dual of [(3003, 27), 80970, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4111, 12013, F4, 3, 20) (dual of [(12013, 3), 35928, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4111, 12016, F4, 3, 20) (dual of [(12016, 3), 35937, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4111, 12016, F4, 20) (dual of [12016, 11905, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4111, 16410, F4, 20) (dual of [16410, 16299, 21]-code), using
- strength reduction [i] based on linear OA(4111, 16410, F4, 21) (dual of [16410, 16299, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- 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(485, 16384, F4, 17) (dual of [16384, 16299, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(20) ⊂ Ce(16) [i] based on
- strength reduction [i] based on linear OA(4111, 16410, F4, 21) (dual of [16410, 16299, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4111, 16410, F4, 20) (dual of [16410, 16299, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4111, 12016, F4, 20) (dual of [12016, 11905, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(4111, 12016, F4, 3, 20) (dual of [(12016, 3), 35937, 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.