Information on Result #737623
Linear OA(587, 3151, F5, 21) (dual of [3151, 3064, 22]-code), using construction X applied to Ce(20) ⊂ Ce(15) based on
- linear OA(581, 3125, F5, 21) (dual of [3125, 3044, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 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(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(586, 3150, F5, 20) (dual of [3150, 3064, 21]-code) | [i] | Truncation | |
| 2 | Linear OA(589, 3155, F5, 21) (dual of [3155, 3066, 22]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(590, 3157, F5, 21) (dual of [3157, 3067, 22]-code) | [i] | ||
| 4 | Linear OA(591, 3159, F5, 21) (dual of [3159, 3068, 22]-code) | [i] | ||
| 5 | Linear OOA(587, 1575, F5, 2, 21) (dual of [(1575, 2), 3063, 22]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(587, 1050, F5, 3, 21) (dual of [(1050, 3), 3063, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(587, 315, F5, 21, 21) (dual of [(315, 21), 6528, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |