Information on Result #1479649
Linear OOA(4193, 25297, F4, 3, 30) (dual of [(25297, 3), 75698, 31]-NRT-code), using OOA 2-folding based on linear OOA(4193, 50594, F4, 2, 30) (dual of [(50594, 2), 100995, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4193, 50595, F4, 2, 30) (dual of [(50595, 2), 100997, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4193, 50595, F4, 30) (dual of [50595, 50402, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4193, 65600, F4, 30) (dual of [65600, 65407, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(21) [i] based on
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4129, 65536, F4, 22) (dual of [65536, 65407, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(416, 64, F4, 7) (dual of [64, 48, 8]-code), using
- an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- construction X applied to Ce(29) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(4193, 65600, F4, 30) (dual of [65600, 65407, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4193, 50595, F4, 30) (dual of [50595, 50402, 31]-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.