Information on Result #1722564
Digital (49, 64, 1054)-net over F5, using net defined by OOA based on linear OOA(564, 1054, F5, 21, 15) (dual of [(1054, 21), 22070, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(564, 3163, F5, 3, 15) (dual of [(3163, 3), 9425, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(564, 3165, F5, 3, 15) (dual of [(3165, 3), 9431, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(564, 3165, F5, 15) (dual of [3165, 3101, 16]-code), using
- 37 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 9 times 0, 1, 23 times 0) [i] based on linear OA(560, 3124, F5, 15) (dual of [3124, 3064, 16]-code), using
- 1 times truncation [i] based on linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 1 times truncation [i] based on linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using
- 37 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 9 times 0, 1, 23 times 0) [i] based on linear OA(560, 3124, F5, 15) (dual of [3124, 3064, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(564, 3165, F5, 15) (dual of [3165, 3101, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(564, 3165, F5, 3, 15) (dual of [(3165, 3), 9431, 16]-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.