Information on Result #711394
Linear OA(5107, 668, F5, 29) (dual of [668, 561, 30]-code), using construction XX applied to C1 = C([130,155]), C2 = C([138,158]), C3 = C1 + C2 = C([138,155]), and C∩ = C1 ∩ C2 = C([130,158]) based on
- linear OA(582, 624, F5, 26) (dual of [624, 542, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,155}, and designed minimum distance d ≥ |I|+1 = 27 [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(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(560, 624, F5, 18) (dual of [624, 564, 19]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,155}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(513, 32, F5, 7) (dual of [32, 19, 8]-code), using
- construction XX applied to Ce(6) ⊂ Ce(3) ⊂ Ce(2) [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(57, 25, F5, 4) (dual of [25, 18, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(55, 25, F5, 3) (dual of [25, 20, 4]-code or 25-cap in PG(4,5)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(52, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(2,5) [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(6) ⊂ Ce(3) ⊂ Ce(2) [i] based on
- linear OA(53, 12, F5, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), 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.