Information on Result #1485045
Linear OOA(594, 39084, F5, 3, 15) (dual of [(39084, 3), 117158, 16]-NRT-code), using OOA 2-folding based on linear OOA(594, 78168, F5, 2, 15) (dual of [(78168, 2), 156242, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(594, 78169, F5, 2, 15) (dual of [(78169, 2), 156244, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(594, 78169, F5, 15) (dual of [78169, 78075, 16]-code), using
- construction X applied to Ce(15) ⊂ Ce(8) [i] based on
- linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(550, 78125, F5, 9) (dual of [78125, 78075, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(59, 44, F5, 5) (dual of [44, 35, 6]-code), using
- construction X applied to Ce(15) ⊂ Ce(8) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(594, 78169, F5, 15) (dual of [78169, 78075, 16]-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.