Information on Result #684282
Linear OA(582, 138, F5, 39) (dual of [138, 56, 40]-code), using construction XX applied to Ce(38) ⊂ Ce(36) ⊂ Ce(33) based on
- linear OA(577, 125, F5, 39) (dual of [125, 48, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(571, 125, F5, 37) (dual of [125, 54, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(568, 125, F5, 34) (dual of [125, 57, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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
- linear OA(52, 4, F5, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), 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.