Information on Result #1481451
Linear OOA(4222, 1714, F4, 3, 50) (dual of [(1714, 3), 4920, 51]-NRT-code), using OOA 2-folding based on linear OOA(4222, 3428, F4, 2, 50) (dual of [(3428, 2), 6634, 51]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4222, 3428, F4, 50) (dual of [3428, 3206, 51]-code), using
- 3205 step Varšamov–Edel lengthening with (ri) = (14, 6, 3, 3, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 13 times 0, 1, 14 times 0, 1, 14 times 0, 1, 15 times 0, 1, 16 times 0, 1, 16 times 0, 1, 16 times 0, 1, 17 times 0, 1, 17 times 0, 1, 18 times 0, 1, 19 times 0, 1, 19 times 0, 1, 20 times 0, 1, 20 times 0, 1, 21 times 0, 1, 22 times 0, 1, 23 times 0, 1, 23 times 0, 1, 24 times 0, 1, 24 times 0, 1, 25 times 0, 1, 27 times 0, 1, 27 times 0, 1, 27 times 0, 1, 29 times 0, 1, 29 times 0, 1, 31 times 0, 1, 31 times 0, 1, 32 times 0, 1, 34 times 0, 1, 34 times 0, 1, 35 times 0, 1, 37 times 0, 1, 37 times 0, 1, 39 times 0, 1, 40 times 0, 1, 41 times 0, 1, 42 times 0, 1, 43 times 0, 1, 45 times 0, 1, 46 times 0, 1, 48 times 0, 1, 49 times 0, 1, 50 times 0, 1, 52 times 0, 1, 53 times 0, 1, 55 times 0, 1, 57 times 0, 1, 59 times 0, 1, 60 times 0, 1, 62 times 0, 1, 63 times 0, 1, 66 times 0, 1, 67 times 0, 1, 70 times 0, 1, 72 times 0, 1, 73 times 0, 1, 76 times 0, 1, 78 times 0, 1, 81 times 0, 1, 83 times 0, 1, 85 times 0, 1, 87 times 0, 1, 91 times 0, 1, 93 times 0) [i] based on linear OA(450, 51, F4, 50) (dual of [51, 1, 51]-code or 51-arc in PG(49,4)), using
- dual of repetition code with length 51 [i]
- 3205 step Varšamov–Edel lengthening with (ri) = (14, 6, 3, 3, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 13 times 0, 1, 14 times 0, 1, 14 times 0, 1, 15 times 0, 1, 16 times 0, 1, 16 times 0, 1, 16 times 0, 1, 17 times 0, 1, 17 times 0, 1, 18 times 0, 1, 19 times 0, 1, 19 times 0, 1, 20 times 0, 1, 20 times 0, 1, 21 times 0, 1, 22 times 0, 1, 23 times 0, 1, 23 times 0, 1, 24 times 0, 1, 24 times 0, 1, 25 times 0, 1, 27 times 0, 1, 27 times 0, 1, 27 times 0, 1, 29 times 0, 1, 29 times 0, 1, 31 times 0, 1, 31 times 0, 1, 32 times 0, 1, 34 times 0, 1, 34 times 0, 1, 35 times 0, 1, 37 times 0, 1, 37 times 0, 1, 39 times 0, 1, 40 times 0, 1, 41 times 0, 1, 42 times 0, 1, 43 times 0, 1, 45 times 0, 1, 46 times 0, 1, 48 times 0, 1, 49 times 0, 1, 50 times 0, 1, 52 times 0, 1, 53 times 0, 1, 55 times 0, 1, 57 times 0, 1, 59 times 0, 1, 60 times 0, 1, 62 times 0, 1, 63 times 0, 1, 66 times 0, 1, 67 times 0, 1, 70 times 0, 1, 72 times 0, 1, 73 times 0, 1, 76 times 0, 1, 78 times 0, 1, 81 times 0, 1, 83 times 0, 1, 85 times 0, 1, 87 times 0, 1, 91 times 0, 1, 93 times 0) [i] based on linear OA(450, 51, F4, 50) (dual of [51, 1, 51]-code or 51-arc in PG(49,4)), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.