Information on Result #711448
Linear OA(5105, 654, F5, 30) (dual of [654, 549, 31]-code), using construction XX applied to C1 = C([130,158]), C2 = C([138,159]), C3 = C1 + C2 = C([138,158]), and C∩ = C1 ∩ C2 = C([130,159]) based on
- linear OA(591, 624, F5, 29) (dual of [624, 533, 30]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,158}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(573, 624, F5, 22) (dual of [624, 551, 23]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,159}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(595, 624, F5, 30) (dual of [624, 529, 31]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,159}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(569, 624, F5, 21) (dual of [624, 555, 22]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,158}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(510, 26, F5, 7) (dual of [26, 16, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(510, 25, F5, 7) (dual of [25, 15, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s (see above)
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.