Information on Result #737627
Linear OA(567, 3151, F5, 16) (dual of [3151, 3084, 17]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
- linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(541, 3125, F5, 11) (dual of [3125, 3084, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(56, 26, F5, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(568, 3152, F5, 16) (dual of [3152, 3084, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(568, 3153, F5, 16) (dual of [3153, 3085, 17]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(569, 3155, F5, 16) (dual of [3155, 3086, 17]-code) | [i] | ||
| 4 | Linear OA(570, 3157, F5, 16) (dual of [3157, 3087, 17]-code) | [i] | ||
| 5 | Linear OOA(567, 1575, F5, 2, 16) (dual of [(1575, 2), 3083, 17]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(567, 1050, F5, 3, 16) (dual of [(1050, 3), 3083, 17]-NRT-code) | [i] | ||