Information on Result #1723902
Digital (73, 98, 440)-net over F5, using net defined by OOA based on linear OOA(598, 440, F5, 27, 25) (dual of [(440, 27), 11782, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(598, 1761, F5, 3, 25) (dual of [(1761, 3), 5185, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(598, 1764, F5, 3, 25) (dual of [(1764, 3), 5194, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(598, 1764, F5, 25) (dual of [1764, 1666, 26]-code), using
- 1665 step Varšamov–Edel lengthening with (ri) = (6, 3, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 14 times 0, 1, 16 times 0, 1, 16 times 0, 1, 18 times 0, 1, 19 times 0, 1, 21 times 0, 1, 22 times 0, 1, 24 times 0, 1, 26 times 0, 1, 28 times 0, 1, 30 times 0, 1, 32 times 0, 1, 34 times 0, 1, 37 times 0, 1, 40 times 0, 1, 42 times 0, 1, 45 times 0, 1, 49 times 0, 1, 53 times 0, 1, 56 times 0, 1, 60 times 0, 1, 64 times 0, 1, 69 times 0, 1, 74 times 0, 1, 79 times 0, 1, 85 times 0, 1, 91 times 0, 1, 98 times 0, 1, 104 times 0, 1, 112 times 0) [i] based on linear OA(525, 26, F5, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,5)), using
- dual of repetition code with length 26 [i]
- 1665 step Varšamov–Edel lengthening with (ri) = (6, 3, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 14 times 0, 1, 16 times 0, 1, 16 times 0, 1, 18 times 0, 1, 19 times 0, 1, 21 times 0, 1, 22 times 0, 1, 24 times 0, 1, 26 times 0, 1, 28 times 0, 1, 30 times 0, 1, 32 times 0, 1, 34 times 0, 1, 37 times 0, 1, 40 times 0, 1, 42 times 0, 1, 45 times 0, 1, 49 times 0, 1, 53 times 0, 1, 56 times 0, 1, 60 times 0, 1, 64 times 0, 1, 69 times 0, 1, 74 times 0, 1, 79 times 0, 1, 85 times 0, 1, 91 times 0, 1, 98 times 0, 1, 104 times 0, 1, 112 times 0) [i] based on linear OA(525, 26, F5, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,5)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(598, 1764, F5, 25) (dual of [1764, 1666, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(598, 1764, F5, 3, 25) (dual of [(1764, 3), 5194, 26]-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.