Information on Result #1727630
Digital (54, 70, 8128)-net over F8, using net defined by OOA based on linear OOA(870, 8128, F8, 21, 16) (dual of [(8128, 21), 170618, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(870, 24385, F8, 3, 16) (dual of [(24385, 3), 73085, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(870, 24387, F8, 3, 16) (dual of [(24387, 3), 73091, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(870, 24387, F8, 16) (dual of [24387, 24317, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(870, 32768, F8, 16) (dual of [32768, 32698, 17]-code), using
- 1 times truncation [i] based on linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(870, 32768, F8, 16) (dual of [32768, 32698, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(870, 24387, F8, 16) (dual of [24387, 24317, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(870, 24387, F8, 3, 16) (dual of [(24387, 3), 73091, 17]-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.