Information on Result #684343
Linear OA(5100, 106, F5, 79) (dual of [106, 6, 80]-code), using construction X applied to Ce(78) ⊂ Ce(77) based on
- linear OA(5100, 105, F5, 79) (dual of [105, 5, 80]-code), using an extension Ce(78) of the narrow-sense BCH-code C(I) with length 104 | 54−1, defining interval I = [1,78], and designed minimum distance d ≥ |I|+1 = 79 [i]
- linear OA(599, 105, F5, 78) (dual of [105, 6, 79]-code), using an extension Ce(77) of the narrow-sense BCH-code C(I) with length 104 | 54−1, defining interval I = [1,77], and designed minimum distance d ≥ |I|+1 = 78 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(5100, 106, F5, 78) (dual of [106, 6, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5100, 106, F5, 77) (dual of [106, 6, 78]-code) | [i] | ||
| 3 | Linear OA(5101, 107, F5, 79) (dual of [107, 6, 80]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(598, 104, F5, 77) (dual of [104, 6, 78]-code) | [i] | Truncation | |
| 5 | Linear OA(597, 103, F5, 76) (dual of [103, 6, 77]-code) | [i] | ||
| 6 | Linear OA(596, 102, F5, 75) (dual of [102, 6, 76]-code) | [i] | ||
| 7 | Linear OA(595, 101, F5, 74) (dual of [101, 6, 75]-code) | [i] | ||
| 8 | Linear OA(594, 100, F5, 73) (dual of [100, 6, 74]-code) | [i] | ||
| 9 | Linear OA(593, 99, F5, 72) (dual of [99, 6, 73]-code) | [i] | ||
| 10 | Linear OA(592, 98, F5, 71) (dual of [98, 6, 72]-code) | [i] | ||
| 11 | Linear OA(591, 97, F5, 70) (dual of [97, 6, 71]-code) | [i] | ||
| 12 | Linear OA(590, 96, F5, 69) (dual of [96, 6, 70]-code) | [i] | ||
| 13 | Linear OA(589, 95, F5, 68) (dual of [95, 6, 69]-code) | [i] | ||
| 14 | Linear OA(588, 94, F5, 67) (dual of [94, 6, 68]-code) | [i] | ||
| 15 | Linear OA(587, 93, F5, 66) (dual of [93, 6, 67]-code) | [i] | ||
| 16 | Linear OA(586, 92, F5, 65) (dual of [92, 6, 66]-code) | [i] | ||
| 17 | Linear OA(583, 89, F5, 62) (dual of [89, 6, 63]-code) | [i] | ||
| 18 | Linear OA(581, 87, F5, 60) (dual of [87, 6, 61]-code) | [i] | ||
| 19 | Linear OA(580, 86, F5, 59) (dual of [86, 6, 60]-code) | [i] | ||
| 20 | Linear OA(577, 83, F5, 56) (dual of [83, 6, 57]-code) | [i] | ||
| 21 | Linear OA(576, 82, F5, 55) (dual of [82, 6, 56]-code) | [i] | ||
| 22 | Linear OOA(5100, 53, F5, 2, 79) (dual of [(53, 2), 6, 80]-NRT-code) | [i] | OOA Folding | |