Information on Result #1302109
Linear OA(763, 4808, F7, 16) (dual of [4808, 4745, 17]-code), using construction X with Varšamov bound based on
- linear OA(762, 4806, F7, 16) (dual of [4806, 4744, 17]-code), using
- trace code [i] based on linear OA(4931, 2403, F49, 16) (dual of [2403, 2372, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(4931, 2401, F49, 16) (dual of [2401, 2370, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(4929, 2401, F49, 15) (dual of [2401, 2372, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- trace code [i] based on linear OA(4931, 2403, F49, 16) (dual of [2403, 2372, 17]-code), using
- linear OA(762, 4807, F7, 15) (dual of [4807, 4745, 16]-code), using Gilbert–Varšamov bound and bm = 762 > Vbs−1(k−1) = 3095 012594 752273 602769 581376 500018 813846 224703 946129 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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.