Information on Result #1485048
Linear OOA(5100, 149014, F5, 3, 15) (dual of [(149014, 3), 446942, 16]-NRT-code), using OOA 2-folding based on linear OOA(5100, 298028, F5, 2, 15) (dual of [(298028, 2), 595956, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5100, 298029, F5, 2, 15) (dual of [(298029, 2), 595958, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5100, 298029, F5, 15) (dual of [298029, 297929, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(5100, 390652, F5, 15) (dual of [390652, 390552, 16]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(573, 390625, F5, 12) (dual of [390625, 390552, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(53, 27, F5, 2) (dual of [27, 24, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- Hamming code H(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(5100, 390652, F5, 15) (dual of [390652, 390552, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5100, 298029, F5, 15) (dual of [298029, 297929, 16]-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.