Information on Result #1723300
Digital (67, 87, 834)-net over F5, using net defined by OOA based on linear OOA(587, 834, F5, 27, 20) (dual of [(834, 27), 22431, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(587, 3337, F5, 3, 20) (dual of [(3337, 3), 9924, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(587, 3337, F5, 20) (dual of [3337, 3250, 21]-code), using
- 205 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 11 times 0, 1, 25 times 0, 1, 54 times 0, 1, 104 times 0) [i] based on linear OA(580, 3125, F5, 20) (dual of [3125, 3045, 21]-code), using
- 1 times truncation [i] based on linear OA(581, 3126, F5, 21) (dual of [3126, 3045, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(581, 3126, F5, 21) (dual of [3126, 3045, 22]-code), using
- 205 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 11 times 0, 1, 25 times 0, 1, 54 times 0, 1, 104 times 0) [i] based on linear OA(580, 3125, F5, 20) (dual of [3125, 3045, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(587, 3337, F5, 20) (dual of [3337, 3250, 21]-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.