Information on Result #1308508
Linear OA(4207, 5126, F4, 43) (dual of [5126, 4919, 44]-code), using 4918 step Varšamov–Edel lengthening with (ri) = (12, 5, 3, 3, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 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, 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, 4 times 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 4 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, 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, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 11 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, 17 times 0, 1, 17 times 0, 1, 18 times 0, 1, 19 times 0, 1, 19 times 0, 1, 20 times 0, 1, 21 times 0, 1, 22 times 0, 1, 22 times 0, 1, 24 times 0, 1, 24 times 0, 1, 25 times 0, 1, 26 times 0, 1, 27 times 0, 1, 27 times 0, 1, 29 times 0, 1, 30 times 0, 1, 31 times 0, 1, 32 times 0, 1, 33 times 0, 1, 34 times 0, 1, 36 times 0, 1, 37 times 0, 1, 38 times 0, 1, 39 times 0, 1, 41 times 0, 1, 42 times 0, 1, 44 times 0, 1, 45 times 0, 1, 47 times 0, 1, 49 times 0, 1, 50 times 0, 1, 52 times 0, 1, 54 times 0, 1, 55 times 0, 1, 58 times 0, 1, 59 times 0, 1, 62 times 0, 1, 64 times 0, 1, 66 times 0, 1, 68 times 0, 1, 71 times 0, 1, 73 times 0, 1, 75 times 0, 1, 78 times 0, 1, 81 times 0, 1, 84 times 0, 1, 86 times 0, 1, 90 times 0, 1, 93 times 0, 1, 95 times 0, 1, 99 times 0, 1, 103 times 0, 1, 106 times 0, 1, 109 times 0, 1, 113 times 0, 1, 117 times 0, 1, 122 times 0, 1, 125 times 0, 1, 130 times 0, 1, 134 times 0, 1, 138 times 0, 1, 143 times 0, 1, 148 times 0, 1, 153 times 0, 1, 159 times 0, 1, 164 times 0) based on linear OA(443, 44, F4, 43) (dual of [44, 1, 44]-code or 44-arc in PG(42,4)), using
- dual of repetition code with length 44 [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(4207, 5126, F4, 2, 43) (dual of [(5126, 2), 10045, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4207, 5126, F4, 3, 43) (dual of [(5126, 3), 15171, 44]-NRT-code) | [i] | ||
| 3 | Digital (164, 207, 5126)-net over F4 | [i] | ||
| 4 | Linear OOA(4207, 2563, F4, 2, 43) (dual of [(2563, 2), 4919, 44]-NRT-code) | [i] | OOA Folding | |