Information on Result #1437259
Linear OOA(576, 15262, F5, 2, 15) (dual of [(15262, 2), 30448, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(576, 15262, F5, 15) (dual of [15262, 15186, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(576, 15646, F5, 15) (dual of [15646, 15570, 16]-code), using
- 1 times truncation [i] based on linear OA(577, 15647, F5, 16) (dual of [15647, 15570, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(555, 15625, F5, 12) (dual of [15625, 15570, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(15) ⊂ Ce(11) [i] based on
- 1 times truncation [i] based on linear OA(577, 15647, F5, 16) (dual of [15647, 15570, 17]-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(576, 7631, F5, 3, 15) (dual of [(7631, 3), 22817, 16]-NRT-code) | [i] | OOA Folding | |