Information on Result #610555
Linear OA(498, 100, F4, 79) (dual of [100, 2, 80]-code), using repeating each code word 20 times based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
Mode: Constructive and 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(498, 100, F4, 78) (dual of [100, 2, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(498, 100, F4, 77) (dual of [100, 2, 78]-code) | [i] | ||
| 3 | Linear OA(498, 100, F4, 76) (dual of [100, 2, 77]-code) | [i] | ||
| 4 | Linear OA(497, 99, F4, 78) (dual of [99, 2, 79]-code) | [i] | Truncation | |
| 5 | Linear OA(496, 98, F4, 77) (dual of [98, 2, 78]-code) | [i] | ||
| 6 | Linear OA(495, 97, F4, 76) (dual of [97, 2, 77]-code) | [i] | ||
| 7 | Linear OA(494, 96, F4, 75) (dual of [96, 2, 76]-code) | [i] | ||
| 8 | Linear OA(492, 94, F4, 73) (dual of [94, 2, 74]-code) | [i] | ||
| 9 | Linear OA(491, 93, F4, 72) (dual of [93, 2, 73]-code) | [i] | ||
| 10 | Linear OA(490, 92, F4, 71) (dual of [92, 2, 72]-code) | [i] | ||
| 11 | Linear OA(489, 91, F4, 70) (dual of [91, 2, 71]-code) | [i] | ||
| 12 | Linear OA(487, 89, F4, 68) (dual of [89, 2, 69]-code) | [i] | ||
| 13 | Linear OA(486, 88, F4, 67) (dual of [88, 2, 68]-code) | [i] | ||
| 14 | Linear OA(485, 87, F4, 66) (dual of [87, 2, 67]-code) | [i] | ||
| 15 | Linear OA(484, 86, F4, 65) (dual of [86, 2, 66]-code) | [i] | ||
| 16 | Linear OOA(498, 50, F4, 2, 79) (dual of [(50, 2), 2, 80]-NRT-code) | [i] | OOA Folding | |