Information on Result #712068
Linear OA(5138, 659, F5, 40) (dual of [659, 521, 41]-code), using construction XX applied to C1 = C([125,162]), C2 = C([133,164]), C3 = C1 + C2 = C([133,162]), and C∩ = C1 ∩ C2 = C([125,164]) based on
- linear OA(5119, 624, F5, 38) (dual of [624, 505, 39]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {125,126,…,162}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(5105, 624, F5, 32) (dual of [624, 519, 33]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {133,134,…,164}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(5127, 624, F5, 40) (dual of [624, 497, 41]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {125,126,…,164}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(597, 624, F5, 30) (dual of [624, 527, 31]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {133,134,…,162}, and designed minimum distance d ≥ |I|+1 = 31 [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(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.