Information on Result #681234
Linear OA(4113, 350, F4, 33) (dual of [350, 237, 34]-code), using construction XX applied to Ce(32) ⊂ Ce(30) ⊂ Ce(29) based on
- linear OA(4111, 342, F4, 33) (dual of [342, 231, 34]-code), using an extension Ce(32) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4106, 342, F4, 31) (dual of [342, 236, 32]-code), using an extension Ce(30) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4101, 342, F4, 30) (dual of [342, 241, 31]-code), using an extension Ce(29) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(41, 7, F4, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
Mode: Constructive and 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.