Information on Result #1724582
Digital (109, 144, 533)-net over F5, using net defined by OOA based on linear OOA(5144, 533, F5, 39, 35) (dual of [(533, 39), 20643, 36]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(5144, 3199, F5, 3, 35) (dual of [(3199, 3), 9453, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5144, 3200, F5, 3, 35) (dual of [(3200, 3), 9456, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5144, 3200, F5, 35) (dual of [3200, 3056, 36]-code), using
- 72 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 17 times 0, 1, 49 times 0) [i] based on linear OA(5140, 3124, F5, 35) (dual of [3124, 2984, 36]-code), using
- 1 times truncation [i] based on linear OA(5141, 3125, F5, 36) (dual of [3125, 2984, 37]-code), using
- an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- 1 times truncation [i] based on linear OA(5141, 3125, F5, 36) (dual of [3125, 2984, 37]-code), using
- 72 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 17 times 0, 1, 49 times 0) [i] based on linear OA(5140, 3124, F5, 35) (dual of [3124, 2984, 36]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5144, 3200, F5, 35) (dual of [3200, 3056, 36]-code), using
- discarding factors / shortening the dual code based on linear OOA(5144, 3200, F5, 3, 35) (dual of [(3200, 3), 9456, 36]-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.