Information on Result #1308621
Linear OA(4219, 5024, F4, 46) (dual of [5024, 4805, 47]-code), using 4804 step Varšamov–Edel lengthening with (ri) = (13, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 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, 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, 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, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 11 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, 15 times 0, 1, 15 times 0, 1, 15 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, 25 times 0, 1, 26 times 0, 1, 27 times 0, 1, 28 times 0, 1, 28 times 0, 1, 30 times 0, 1, 30 times 0, 1, 32 times 0, 1, 32 times 0, 1, 34 times 0, 1, 35 times 0, 1, 36 times 0, 1, 37 times 0, 1, 38 times 0, 1, 40 times 0, 1, 41 times 0, 1, 42 times 0, 1, 44 times 0, 1, 45 times 0, 1, 46 times 0, 1, 48 times 0, 1, 50 times 0, 1, 51 times 0, 1, 53 times 0, 1, 55 times 0, 1, 56 times 0, 1, 58 times 0, 1, 60 times 0, 1, 62 times 0, 1, 64 times 0, 1, 66 times 0, 1, 69 times 0, 1, 70 times 0, 1, 73 times 0, 1, 75 times 0, 1, 77 times 0, 1, 80 times 0, 1, 83 times 0, 1, 85 times 0, 1, 88 times 0, 1, 90 times 0, 1, 94 times 0, 1, 97 times 0, 1, 99 times 0, 1, 103 times 0, 1, 106 times 0, 1, 110 times 0, 1, 113 times 0, 1, 116 times 0, 1, 120 times 0, 1, 124 times 0, 1, 128 times 0, 1, 133 times 0, 1, 136 times 0, 1, 141 times 0, 1, 145 times 0, 1, 150 times 0) based on linear OA(446, 47, F4, 46) (dual of [47, 1, 47]-code or 47-arc in PG(45,4)), using
- dual of repetition code with length 47 [i]
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4219, 5024, F4, 2, 46) (dual of [(5024, 2), 9829, 47]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4219, 5024, F4, 3, 46) (dual of [(5024, 3), 14853, 47]-NRT-code) | [i] | ||
| 3 | Digital (173, 219, 5024)-net over F4 | [i] | ||
| 4 | Linear OOA(4219, 2512, F4, 2, 46) (dual of [(2512, 2), 4805, 47]-NRT-code) | [i] | OOA Folding | |