Information on Result #710905
Linear OA(559, 654, F5, 16) (dual of [654, 595, 17]-code), using construction XX applied to C1 = C([153,166]), C2 = C([151,159]), C3 = C1 + C2 = C([153,159]), and C∩ = C1 ∩ C2 = C([151,166]) based on
- linear OA(545, 624, F5, 14) (dual of [624, 579, 15]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {153,154,…,166}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(529, 624, F5, 9) (dual of [624, 595, 10]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {151,152,…,159}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(549, 624, F5, 16) (dual of [624, 575, 17]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {151,152,…,166}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(525, 624, F5, 7) (dual of [624, 599, 8]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {153,154,…,159}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(59, 25, F5, 6) (dual of [25, 16, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
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
None.