Information on Result #682684
Linear OA(5149, 15647, F5, 31) (dual of [15647, 15498, 32]-code), using construction X applied to Ce(30) ⊂ Ce(26) based on
- linear OA(5145, 15625, F5, 31) (dual of [15625, 15480, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(5127, 15625, F5, 27) (dual of [15625, 15498, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(54, 22, F5, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,5)), 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(5148, 15646, F5, 30) (dual of [15646, 15498, 31]-code) | [i] | Truncation | |
| 2 | Linear OOA(5149, 7823, F5, 2, 31) (dual of [(7823, 2), 15497, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5149, 5215, F5, 3, 31) (dual of [(5215, 3), 15496, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(5149, 1043, F5, 31, 31) (dual of [(1043, 31), 32184, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |