Information on Result #680955
Linear OA(4258, 1042, F4, 71) (dual of [1042, 784, 72]-code), using construction XX applied to Ce(70) ⊂ Ce(68) ⊂ Ce(62) based on
- linear OA(4251, 1024, F4, 71) (dual of [1024, 773, 72]-code), using an extension Ce(70) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,70], and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(4241, 1024, F4, 69) (dual of [1024, 783, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(4236, 1024, F4, 63) (dual of [1024, 788, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(41, 12, F4, 1) (dual of [12, 11, 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(45, 6, F4, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,4)), using
- dual of repetition code with length 6 [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.