Information on Result #1548766
Linear OOA(5100, 13182, F5, 3, 20) (dual of [(13182, 3), 39446, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5100, 13182, F5, 20) (dual of [13182, 13082, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(5100, 15646, F5, 20) (dual of [15646, 15546, 21]-code), using
- 1 times truncation [i] based on linear OA(5101, 15647, F5, 21) (dual of [15647, 15546, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- linear OA(597, 15625, F5, 21) (dual of [15625, 15528, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(54, 22, F5, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,5)), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- 1 times truncation [i] based on linear OA(5101, 15647, F5, 21) (dual of [15647, 15546, 22]-code), using
Mode: 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 OOA(5100, 3295, F5, 27, 20) (dual of [(3295, 27), 88865, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |