Information on Result #684322
Linear OA(581, 158, F5, 32) (dual of [158, 77, 33]-code), using construction XX applied to Ce(31) ⊂ Ce(21) ⊂ Ce(18) based on
- linear OA(562, 125, F5, 32) (dual of [125, 63, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(552, 125, F5, 22) (dual of [125, 73, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(546, 125, F5, 19) (dual of [125, 79, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(513, 27, F5, 9) (dual of [27, 14, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(513, 28, F5, 9) (dual of [28, 15, 10]-code), using
- 2 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 2 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(513, 28, F5, 9) (dual of [28, 15, 10]-code), using
- 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]
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.