Information on Result #1622162
Linear OOA(3193, 1658, F3, 5, 36) (dual of [(1658, 5), 8097, 37]-NRT-code), using OOA 2-folding based on linear OOA(3193, 3316, F3, 3, 36) (dual of [(3316, 3), 9755, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3193, 3316, F3, 36) (dual of [3316, 3123, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(3193, 6569, F3, 36) (dual of [6569, 6376, 37]-code), using
- 1 times truncation [i] based on linear OA(3194, 6570, F3, 37) (dual of [6570, 6376, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(3193, 6561, F3, 37) (dual of [6561, 6368, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(31, 9, F3, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- 1 times truncation [i] based on linear OA(3194, 6570, F3, 37) (dual of [6570, 6376, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3193, 6569, F3, 36) (dual of [6569, 6376, 37]-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.