Information on Result #1621297
Linear OOA(3134, 4082, F3, 5, 22) (dual of [(4082, 5), 20276, 23]-NRT-code), using OOA 2-folding based on linear OOA(3134, 8164, F3, 3, 22) (dual of [(8164, 3), 24358, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3134, 8165, F3, 3, 22) (dual of [(8165, 3), 24361, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3134, 8165, F3, 2, 22) (dual of [(8165, 2), 16196, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3134, 9855, F3, 2, 22) (dual of [(9855, 2), 19576, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3134, 19710, F3, 22) (dual of [19710, 19576, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3100, 19683, F3, 17) (dual of [19683, 19583, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(3134, 19710, F3, 22) (dual of [19710, 19576, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(3134, 9855, F3, 2, 22) (dual of [(9855, 2), 19576, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3134, 8165, F3, 2, 22) (dual of [(8165, 2), 16196, 23]-NRT-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.