Information on Result #682190
Linear OA(578, 1953157, F5, 11) (dual of [1953157, 1953079, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) based on
- linear OA(573, 1953125, F5, 11) (dual of [1953125, 1953052, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(546, 1953125, F5, 7) (dual of [1953125, 1953079, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(55, 32, F5, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,5)), using
- discarding factors / shortening the dual code based on linear OA(55, 42, F5, 3) (dual of [42, 37, 4]-code or 42-cap in PG(4,5)), 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(579, 1953158, F5, 11) (dual of [1953158, 1953079, 12]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(577, 1953156, F5, 10) (dual of [1953156, 1953079, 11]-code) | [i] | Truncation | |
| 3 | Linear OOA(578, 976578, F5, 2, 11) (dual of [(976578, 2), 1953078, 12]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(578, 651052, F5, 3, 11) (dual of [(651052, 3), 1953078, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(578, 390631, F5, 11, 11) (dual of [(390631, 11), 4296863, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |