Information on Result #710980
Linear OA(567, 658, F5, 18) (dual of [658, 591, 19]-code), using construction XX applied to C1 = C([141,156]), C2 = C([148,158]), C3 = C1 + C2 = C([148,156]), and C∩ = C1 ∩ C2 = C([141,158]) based on
- 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 = {141,142,…,156}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(537, 624, F5, 11) (dual of [624, 587, 12]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {148,149,…,158}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(557, 624, F5, 18) (dual of [624, 567, 19]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {141,142,…,158}, and designed minimum distance d ≥ |I|+1 = 19 [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 = {148,149,…,156}, and designed minimum distance d ≥ |I|+1 = 10 [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, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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.