Information on Result #1301737
Linear OA(5115, 143, F5, 67) (dual of [143, 28, 68]-code), using construction X with Varšamov bound based on
- linear OA(5110, 137, F5, 67) (dual of [137, 27, 68]-code), using
- construction XX applied to Ce(67) ⊂ Ce(62) ⊂ Ce(61) [i] based on
- linear OA(5105, 125, F5, 68) (dual of [125, 20, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(599, 125, F5, 63) (dual of [125, 26, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(54, 11, F5, 3) (dual of [11, 7, 4]-code or 11-cap in PG(3,5)), using
- 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(67) ⊂ Ce(62) ⊂ Ce(61) [i] based on
- linear OA(5110, 138, F5, 62) (dual of [138, 28, 63]-code), using Gilbert–Varšamov bound and bm = 5110 > Vbs−1(k−1) = 34667 403096 968502 398908 631963 584461 219542 944785 239573 945444 071400 668431 467365 [i]
- linear OA(54, 5, F5, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,5)), using
- dual of repetition code with length 5 [i]
- Reed–Solomon code RS(1,5) [i]
Mode: 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.