Information on Result #1484806
Linear OOA(560, 39074, F5, 3, 10) (dual of [(39074, 3), 117162, 11]-NRT-code), using OOA 2-folding based on linear OOA(560, 78148, F5, 2, 10) (dual of [(78148, 2), 156236, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(560, 78149, F5, 2, 10) (dual of [(78149, 2), 156238, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(560, 78149, F5, 10) (dual of [78149, 78089, 11]-code), using
- 1 times truncation [i] based on linear OA(561, 78150, F5, 11) (dual of [78150, 78089, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- linear OA(557, 78125, F5, 11) (dual of [78125, 78068, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(536, 78125, F5, 7) (dual of [78125, 78089, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,5)), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- 1 times truncation [i] based on linear OA(561, 78150, F5, 11) (dual of [78150, 78089, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(560, 78149, F5, 10) (dual of [78149, 78089, 11]-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
None.