Information on Result #1484671
Linear OOA(529, 1580, F5, 3, 7) (dual of [(1580, 3), 4711, 8]-NRT-code), using OOA 2-folding based on linear OOA(529, 3160, F5, 2, 7) (dual of [(3160, 2), 6291, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(529, 3160, F5, 7) (dual of [3160, 3131, 8]-code), using
- 27 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 22 times 0) [i] based on linear OA(526, 3130, F5, 7) (dual of [3130, 3104, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(526, 3125, F5, 7) (dual of [3125, 3099, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(521, 3125, F5, 6) (dual of [3125, 3104, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- 27 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 22 times 0) [i] based on linear OA(526, 3130, F5, 7) (dual of [3130, 3104, 8]-code), 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.