Information on Result #737461
Linear OA(598, 1953168, F5, 13) (dual of [1953168, 1953070, 14]-code), using construction X applied to Ce(12) ⊂ Ce(7) based on
- linear OA(591, 1953125, F5, 13) (dual of [1953125, 1953034, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(555, 1953125, F5, 8) (dual of [1953125, 1953070, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(57, 43, F5, 4) (dual of [43, 36, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 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(599, 1953170, F5, 13) (dual of [1953170, 1953071, 14]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(5100, 1953172, F5, 13) (dual of [1953172, 1953072, 14]-code) | [i] | ||
| 3 | Linear OOA(598, 976584, F5, 2, 13) (dual of [(976584, 2), 1953070, 14]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(598, 651056, F5, 3, 13) (dual of [(651056, 3), 1953070, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(598, 325527, F5, 13, 13) (dual of [(325527, 13), 4231753, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |